How to Find GCF of 2696/953, 4189/2950?

GCF of 2696/953, 4189/2950

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 2696/953, 4189/2950 i.e 1/2811350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2696/953, 4189/2950.

Enter two or more fractions separated by "commas"

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

What is the GCF of 2696/953,4189/2950?

Given fractions are 2696/953,4189/2950

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 2696/953,4189/2950, numerators are 2696,4189

Denominators are 953,2950

The GCF of 2696,4189 is 1 .

LCM of 953,2950 is 2811350.

The greatest common factor of 2696/953,4189/2950 = [GCF of 2696,4189]/[LCM of 953,2950]= 1/2811350

Therefore, the GCF of 2696/953,4189/2950 is 1/2811350.

Greatest Common Factor of 2696,4189

To find the highest common factor of 2696,4189, we have to find the factors of both numbers and list the highest common factor.

The factors of 2696 are 1, 2, 4, 8, 337, 674, 1348, 2696

The factors of 4189 are 1, 59, 71, 4189

The HCF of 2696,4189 is 1.

Lets's calculate GCF of 2696,4189

Greatest Common Factor (GCF) of 2696,4189 By Common Division

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

Greatest Common Factor of 2696,4189 By Matching Biggest Common Factor Method

Now, list down the factors of 2696

1,2,4,8,337,674,1348,2696

Now, list down the factors of 4189

1,59,71,4189

Greatest Common Factor

We found the factors 2696,4189 . The biggest common factor number is the GCF number.
So the greatest common factor 2696,4189 is 1.

Lets's calculate LCM of 953,2950

Lowest Common Multiple of 953,2950 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2811350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2811350

Therefore, the GCF of Fractions 2696/953,4189/2950 is 1/2811350

Least Common Multiple of 953,2950 with GCF Formula

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

We need to calculate greatest common factor of 953,2950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(953,2950) = 1

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

GCF(953,2950) x common factors =1 x 1 = 1

LCM(953,2950) = ( 953 × 2950 ) / 1

LCM(953,2950) = 2811350 / 1

LCM(953,2950) = 2811350

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2696/953, 4189/2950

1. What is the HCF of 2696,4189?

The HCF of 2696,4189 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 2696/953, 4189/2950?

Answer: GCF of Numerators as per given numbers 2696/953, 4189/2950 is

GCF of Numerators i.e. for 2696,4189 is 1

LCM of denominators i.e. for 953,2950 is 2811350.

Thus, GCF of Fractions is 1/2811350.Finally, GCF of Fractions for 2696/953, 4189/2950 is 1/2811350.