How to Find GCF of 8857/937, 6054/941?

GCF of 8857/937, 6054/941

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 8857/937, 6054/941 i.e 1/881717 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8857/937, 6054/941.

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 8857/937,6054/941?

Given fractions are 8857/937,6054/941

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 8857/937,6054/941, numerators are 8857,6054

Denominators are 937,941

The GCF of 8857,6054 is 1 .

LCM of 937,941 is 881717.

The greatest common factor of 8857/937,6054/941 = [GCF of 8857,6054]/[LCM of 937,941]= 1/881717

Therefore, the GCF of 8857/937,6054/941 is 1/881717.

Greatest Common Factor of 8857,6054

To find the highest common factor of 8857,6054, we have to find the factors of both numbers and list the highest common factor.

The factors of 8857 are 1, 17, 521, 8857

The factors of 6054 are 1, 2, 3, 6, 1009, 2018, 3027, 6054

The HCF of 8857,6054 is 1.

Lets's calculate GCF of 8857,6054

Greatest Common Factor (GCF) of 8857,6054 By Common Division

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

Greatest Common Factor of 8857,6054 By Matching Biggest Common Factor Method

Now, list down the factors of 8857

1,17,521,8857

Now, list down the factors of 6054

1,2,3,6,1009,2018,3027,6054

Greatest Common Factor

We found the factors 8857,6054 . The biggest common factor number is the GCF number.
So the greatest common factor 8857,6054 is 1.

Lets's calculate LCM of 937,941

Lowest Common Multiple of 937,941 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 881717

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/881717

Therefore, the GCF of Fractions 8857/937,6054/941 is 1/881717

Least Common Multiple of 937,941 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 937,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(937,941) = 1

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

GCF(937,941) x common factors =1 x 1 = 1

LCM(937,941) = ( 937 × 941 ) / 1

LCM(937,941) = 881717 / 1

LCM(937,941) = 881717

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FAQs on GCF of Fractions of 8857/937, 6054/941

1. What is the HCF of 8857,6054?

The HCF of 8857,6054 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 8857/937, 6054/941?

Answer: GCF of Numerators as per given numbers 8857/937, 6054/941 is

GCF of Numerators i.e. for 8857,6054 is 1

LCM of denominators i.e. for 937,941 is 881717.

Thus, GCF of Fractions is 1/881717.Finally, GCF of Fractions for 8857/937, 6054/941 is 1/881717.