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 529/262, 271/402

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 529/262, 271/402 i.e 1/52662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 529/262, 271/402.

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 529/262,271/402?

Given fractions are 529/262,271/402

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 529/262,271/402, numerators are 529,271

Denominators are 262,402

The GCF of 529,271 is 1 .

LCM of 262,402 is 52662.

The greatest common factor of 529/262,271/402 = [GCF of 529,271]/[LCM of 262,402]= 1/52662

Therefore, the GCF of 529/262,271/402 is 1/52662.

Greatest Common Factor of 529,271

To find the highest common factor of 529,271, we have to find the factors of both numbers and list the highest common factor.

The factors of 529 are 1, 23, 529

The factors of 271 are 1, 271

The HCF of 529,271 is 1.

Lets's calculate GCF of 529,271

Greatest Common Factor (GCF) of 529,271 By Common Division

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

Greatest Common Factor of 529,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 529,271 By Matching Biggest Common Factor Method

Now, list down the factors of 529

:

1,23,529

Now, list down the factors of 271

:

1,271

Greatest Common Factor

We found the factors 529,271 . The biggest common factor number is the GCF number.
So the greatest common factor 529,271 is 1.

Lets's calculate LCM of 262,402

Lowest Common Multiple of 262,402 using Common Division

2 262, 402
131, 201

∴ So the LCM of the given numbers is 2 x 131 x 201 = 52662

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52662

Therefore, the GCF of Fractions 529/262,271/402 is 1/52662

Least Common Multiple of 262,402 with GCF Formula

Least Common Multiple of 262,402 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 262,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,402) = 2

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

GCF(262,402) x common factors =2 x 1 = 2

LCM(262,402) = ( 262 × 402 ) / 2

LCM(262,402) = 105324 / 2

LCM(262,402) = 52662


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 529/262, 271/402

1. What is the HCF of 529,271?

The HCF of 529,271 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 529/262, 271/402?

Answer: GCF of Numerators as per given numbers 529/262, 271/402 is

GCF of Numerators i.e. for 529,271 is 1

LCM of denominators i.e. for 262,402 is 52662.

Thus, GCF of Fractions is 1/52662.Finally, GCF of Fractions for 529/262, 271/402 is 1/52662.