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GCF of 5077/878, 4703/8058

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 5077/878, 4703/8058 i.e 1/3537462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5077/878, 4703/8058.

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 5077/878,4703/8058?

Given fractions are 5077/878,4703/8058

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 5077/878,4703/8058, numerators are 5077,4703

Denominators are 878,8058

The GCF of 5077,4703 is 1 .

LCM of 878,8058 is 3537462.

The greatest common factor of 5077/878,4703/8058 = [GCF of 5077,4703]/[LCM of 878,8058]= 1/3537462

Therefore, the GCF of 5077/878,4703/8058 is 1/3537462.

Greatest Common Factor of 5077,4703

To find the highest common factor of 5077,4703, we have to find the factors of both numbers and list the highest common factor.

The factors of 5077 are 1, 5077

The factors of 4703 are 1, 4703

The HCF of 5077,4703 is 1.

Lets's calculate GCF of 5077,4703

Greatest Common Factor (GCF) of 5077,4703 By Common Division

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

Greatest Common Factor of 5077,4703 By Matching Biggest Common Factor Method

Greatest Common Factor of 5077,4703 By Matching Biggest Common Factor Method

Now, list down the factors of 5077

:

1,5077

Now, list down the factors of 4703

:

1,4703

Greatest Common Factor

We found the factors 5077,4703 . The biggest common factor number is the GCF number.
So the greatest common factor 5077,4703 is 1.

Lets's calculate LCM of 878,8058

Lowest Common Multiple of 878,8058 using Common Division

2 878, 8058
439, 4029

∴ So the LCM of the given numbers is 2 x 439 x 4029 = 3537462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3537462

Therefore, the GCF of Fractions 5077/878,4703/8058 is 1/3537462

Least Common Multiple of 878,8058 with GCF Formula

Least Common Multiple of 878,8058 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 878,8058 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,8058) = 2

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

GCF(878,8058) x common factors =2 x 1 = 2

LCM(878,8058) = ( 878 × 8058 ) / 2

LCM(878,8058) = 7074924 / 2

LCM(878,8058) = 3537462


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FAQs on GCF of Fractions of 5077/878, 4703/8058

1. What is the HCF of 5077,4703?

The HCF of 5077,4703 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 5077/878, 4703/8058?

Answer: GCF of Numerators as per given numbers 5077/878, 4703/8058 is

GCF of Numerators i.e. for 5077,4703 is 1

LCM of denominators i.e. for 878,8058 is 3537462.

Thus, GCF of Fractions is 1/3537462.Finally, GCF of Fractions for 5077/878, 4703/8058 is 1/3537462.