How to Find GCF of 760/557, 429/503?

GCF of 760/557, 429/503

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 760/557, 429/503 i.e 1/280171 easily. The following is the detailed procedure to determine the greatest common factor of fractions 760/557, 429/503.

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 760/557,429/503?

Given fractions are 760/557,429/503

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 760/557,429/503, numerators are 760,429

Denominators are 557,503

The GCF of 760,429 is 1 .

LCM of 557,503 is 280171.

The greatest common factor of 760/557,429/503 = [GCF of 760,429]/[LCM of 557,503]= 1/280171

Therefore, the GCF of 760/557,429/503 is 1/280171.

Greatest Common Factor of 760,429

To find the highest common factor of 760,429, we have to find the factors of both numbers and list the highest common factor.

The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429

The HCF of 760,429 is 1.

Lets's calculate GCF of 760,429

Greatest Common Factor (GCF) of 760,429 By Common Division

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

Greatest Common Factor of 760,429 By Matching Biggest Common Factor Method

Now, list down the factors of 760

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Now, list down the factors of 429

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 760,429 . The biggest common factor number is the GCF number.
So the greatest common factor 760,429 is 1.

Lets's calculate LCM of 557,503

Lowest Common Multiple of 557,503 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 280171

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/280171

Therefore, the GCF of Fractions 760/557,429/503 is 1/280171

Least Common Multiple of 557,503 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 557,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(557,503) = 1

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

GCF(557,503) x common factors =1 x 1 = 1

LCM(557,503) = ( 557 × 503 ) / 1

LCM(557,503) = 280171 / 1

LCM(557,503) = 280171

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FAQs on GCF of Fractions of 760/557, 429/503

1. What is the HCF of 760,429?

The HCF of 760,429 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 760/557, 429/503?

Answer: GCF of Numerators as per given numbers 760/557, 429/503 is

GCF of Numerators i.e. for 760,429 is 1

LCM of denominators i.e. for 557,503 is 280171.

Thus, GCF of Fractions is 1/280171.Finally, GCF of Fractions for 760/557, 429/503 is 1/280171.