How to Find GCF of 3911/748, 4526/2154?

GCF of 3911/748, 4526/2154

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 3911/748, 4526/2154 i.e 1/805596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3911/748, 4526/2154.

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 3911/748,4526/2154?

Given fractions are 3911/748,4526/2154

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 3911/748,4526/2154, numerators are 3911,4526

Denominators are 748,2154

The GCF of 3911,4526 is 1 .

LCM of 748,2154 is 805596.

The greatest common factor of 3911/748,4526/2154 = [GCF of 3911,4526]/[LCM of 748,2154]= 1/805596

Therefore, the GCF of 3911/748,4526/2154 is 1/805596.

Greatest Common Factor of 3911,4526

To find the highest common factor of 3911,4526, we have to find the factors of both numbers and list the highest common factor.

The factors of 3911 are 1, 3911

The factors of 4526 are 1, 2, 31, 62, 73, 146, 2263, 4526

The HCF of 3911,4526 is 1.

Lets's calculate GCF of 3911,4526

Greatest Common Factor (GCF) of 3911,4526 By Common Division

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

Greatest Common Factor of 3911,4526 By Matching Biggest Common Factor Method

Now, list down the factors of 3911

1,3911

Now, list down the factors of 4526

1,2,31,62,73,146,2263,4526

Greatest Common Factor

We found the factors 3911,4526 . The biggest common factor number is the GCF number.
So the greatest common factor 3911,4526 is 1.

Lets's calculate LCM of 748,2154

Lowest Common Multiple of 748,2154 using Common Division

2	748, 2154
	374, 1077

∴ So the LCM of the given numbers is 2 x 374 x 1077 = 805596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/805596

Therefore, the GCF of Fractions 3911/748,4526/2154 is 1/805596

Least Common Multiple of 748,2154 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 748,2154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,2154) = 2

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

GCF(748,2154) x common factors =2 x 1 = 2

LCM(748,2154) = ( 748 × 2154 ) / 2

LCM(748,2154) = 1611192 / 2

LCM(748,2154) = 805596

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3911/748, 4526/2154

1. What is the HCF of 3911,4526?

The HCF of 3911,4526 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 3911/748, 4526/2154?

Answer: GCF of Numerators as per given numbers 3911/748, 4526/2154 is

GCF of Numerators i.e. for 3911,4526 is 1

LCM of denominators i.e. for 748,2154 is 805596.

Thus, GCF of Fractions is 1/805596.Finally, GCF of Fractions for 3911/748, 4526/2154 is 1/805596.