LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 253/47, 841/5538

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 253/47, 841/5538 i.e 1/260286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 253/47, 841/5538.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 253/47,841/5538?

Given fractions are 253/47,841/5538

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 253/47,841/5538, numerators are 253,841

Denominators are 47,5538

The GCF of 253,841 is 1 .

LCM of 47,5538 is 260286.

The greatest common factor of 253/47,841/5538 = [GCF of 253,841]/[LCM of 47,5538]= 1/260286

Therefore, the GCF of 253/47,841/5538 is 1/260286.

Greatest Common Factor of 253,841

To find the highest common factor of 253,841, we have to find the factors of both numbers and list the highest common factor.

The factors of 253 are 1, 11, 23, 253

The factors of 841 are 1, 29, 841

The HCF of 253,841 is 1.

Lets's calculate GCF of 253,841

Greatest Common Factor (GCF) of 253,841 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 253,841 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,841 By Matching Biggest Common Factor Method

Now, list down the factors of 253

:

1,11,23,253

Now, list down the factors of 841

:

1,29,841

Greatest Common Factor

We found the factors 253,841 . The biggest common factor number is the GCF number.
So the greatest common factor 253,841 is 1.

Lets's calculate LCM of 47,5538

Lowest Common Multiple of 47,5538 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 260286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260286

Therefore, the GCF of Fractions 253/47,841/5538 is 1/260286

Least Common Multiple of 47,5538 with GCF Formula

Least Common Multiple of 47,5538 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 47,5538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,5538) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(47,5538) x common factors =1 x 1 = 1

LCM(47,5538) = ( 47 × 5538 ) / 1

LCM(47,5538) = 260286 / 1

LCM(47,5538) = 260286


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 253/47, 841/5538

1. What is the HCF of 253,841?

The HCF of 253,841 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 253/47, 841/5538?

Answer: GCF of Numerators as per given numbers 253/47, 841/5538 is

GCF of Numerators i.e. for 253,841 is 1

LCM of denominators i.e. for 47,5538 is 260286.

Thus, GCF of Fractions is 1/260286.Finally, GCF of Fractions for 253/47, 841/5538 is 1/260286.