How to Find GCF of 1951/769, 8129/5755?

GCF of 1951/769, 8129/5755

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 1951/769, 8129/5755 i.e 1/4425595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1951/769, 8129/5755.

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 1951/769,8129/5755?

Given fractions are 1951/769,8129/5755

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 1951/769,8129/5755, numerators are 1951,8129

Denominators are 769,5755

The GCF of 1951,8129 is 1 .

LCM of 769,5755 is 4425595.

The greatest common factor of 1951/769,8129/5755 = [GCF of 1951,8129]/[LCM of 769,5755]= 1/4425595

Therefore, the GCF of 1951/769,8129/5755 is 1/4425595.

Greatest Common Factor of 1951,8129

To find the highest common factor of 1951,8129, we have to find the factors of both numbers and list the highest common factor.

The factors of 1951 are 1, 1951

The factors of 8129 are 1, 11, 739, 8129

The HCF of 1951,8129 is 1.

Lets's calculate GCF of 1951,8129

Greatest Common Factor (GCF) of 1951,8129 By Common Division

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

Greatest Common Factor of 1951,8129 By Matching Biggest Common Factor Method

Now, list down the factors of 1951

1,1951

Now, list down the factors of 8129

1,11,739,8129

Greatest Common Factor

We found the factors 1951,8129 . The biggest common factor number is the GCF number.
So the greatest common factor 1951,8129 is 1.

Lets's calculate LCM of 769,5755

Lowest Common Multiple of 769,5755 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4425595

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4425595

Therefore, the GCF of Fractions 1951/769,8129/5755 is 1/4425595

Least Common Multiple of 769,5755 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 769,5755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,5755) = 1

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

GCF(769,5755) x common factors =1 x 1 = 1

LCM(769,5755) = ( 769 × 5755 ) / 1

LCM(769,5755) = 4425595 / 1

LCM(769,5755) = 4425595

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1951/769, 8129/5755

1. What is the HCF of 1951,8129?

The HCF of 1951,8129 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 1951/769, 8129/5755?

Answer: GCF of Numerators as per given numbers 1951/769, 8129/5755 is

GCF of Numerators i.e. for 1951,8129 is 1

LCM of denominators i.e. for 769,5755 is 4425595.

Thus, GCF of Fractions is 1/4425595.Finally, GCF of Fractions for 1951/769, 8129/5755 is 1/4425595.