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GCF of 8753/254, 8978/325

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 8753/254, 8978/325 i.e 1/82550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8753/254, 8978/325.

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 8753/254,8978/325?

Given fractions are 8753/254,8978/325

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 8753/254,8978/325, numerators are 8753,8978

Denominators are 254,325

The GCF of 8753,8978 is 1 .

LCM of 254,325 is 82550.

The greatest common factor of 8753/254,8978/325 = [GCF of 8753,8978]/[LCM of 254,325]= 1/82550

Therefore, the GCF of 8753/254,8978/325 is 1/82550.

Greatest Common Factor of 8753,8978

To find the highest common factor of 8753,8978, we have to find the factors of both numbers and list the highest common factor.

The factors of 8753 are 1, 8753

The factors of 8978 are 1, 2, 67, 134, 4489, 8978

The HCF of 8753,8978 is 1.

Lets's calculate GCF of 8753,8978

Greatest Common Factor (GCF) of 8753,8978 By Common Division

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

Greatest Common Factor of 8753,8978 By Matching Biggest Common Factor Method

Greatest Common Factor of 8753,8978 By Matching Biggest Common Factor Method

Now, list down the factors of 8753

:

1,8753

Now, list down the factors of 8978

:

1,2,67,134,4489,8978

Greatest Common Factor

We found the factors 8753,8978 . The biggest common factor number is the GCF number.
So the greatest common factor 8753,8978 is 1.

Lets's calculate LCM of 254,325

Lowest Common Multiple of 254,325 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 82550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82550

Therefore, the GCF of Fractions 8753/254,8978/325 is 1/82550

Least Common Multiple of 254,325 with GCF Formula

Least Common Multiple of 254,325 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 254,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,325) = 1

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

GCF(254,325) x common factors =1 x 1 = 1

LCM(254,325) = ( 254 × 325 ) / 1

LCM(254,325) = 82550 / 1

LCM(254,325) = 82550


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FAQs on GCF of Fractions of 8753/254, 8978/325

1. What is the HCF of 8753,8978?

The HCF of 8753,8978 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 8753/254, 8978/325?

Answer: GCF of Numerators as per given numbers 8753/254, 8978/325 is

GCF of Numerators i.e. for 8753,8978 is 1

LCM of denominators i.e. for 254,325 is 82550.

Thus, GCF of Fractions is 1/82550.Finally, GCF of Fractions for 8753/254, 8978/325 is 1/82550.