How to Find GCF of 3258/254, 4957/6951?

GCF of 3258/254, 4957/6951

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 3258/254, 4957/6951 i.e 1/1765554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3258/254, 4957/6951.

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 3258/254,4957/6951?

Given fractions are 3258/254,4957/6951

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 3258/254,4957/6951, numerators are 3258,4957

Denominators are 254,6951

The GCF of 3258,4957 is 1 .

LCM of 254,6951 is 1765554.

The greatest common factor of 3258/254,4957/6951 = [GCF of 3258,4957]/[LCM of 254,6951]= 1/1765554

Therefore, the GCF of 3258/254,4957/6951 is 1/1765554.

Greatest Common Factor of 3258,4957

To find the highest common factor of 3258,4957, we have to find the factors of both numbers and list the highest common factor.

The factors of 3258 are 1, 2, 3, 6, 9, 18, 181, 362, 543, 1086, 1629, 3258

The factors of 4957 are 1, 4957

The HCF of 3258,4957 is 1.

Lets's calculate GCF of 3258,4957

Greatest Common Factor (GCF) of 3258,4957 By Common Division

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

Greatest Common Factor of 3258,4957 By Matching Biggest Common Factor Method

Now, list down the factors of 3258

1,2,3,6,9,18,181,362,543,1086,1629,3258

Now, list down the factors of 4957

1,4957

Greatest Common Factor

We found the factors 3258,4957 . The biggest common factor number is the GCF number.
So the greatest common factor 3258,4957 is 1.

Lets's calculate LCM of 254,6951

Lowest Common Multiple of 254,6951 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1765554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1765554

Therefore, the GCF of Fractions 3258/254,4957/6951 is 1/1765554

Least Common Multiple of 254,6951 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 254,6951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,6951) = 1

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

GCF(254,6951) x common factors =1 x 1 = 1

LCM(254,6951) = ( 254 × 6951 ) / 1

LCM(254,6951) = 1765554 / 1

LCM(254,6951) = 1765554

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FAQs on GCF of Fractions of 3258/254, 4957/6951

1. What is the HCF of 3258,4957?

The HCF of 3258,4957 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 3258/254, 4957/6951?

Answer: GCF of Numerators as per given numbers 3258/254, 4957/6951 is

GCF of Numerators i.e. for 3258,4957 is 1

LCM of denominators i.e. for 254,6951 is 1765554.

Thus, GCF of Fractions is 1/1765554.Finally, GCF of Fractions for 3258/254, 4957/6951 is 1/1765554.