How to Find GCF of 3752/660, 5333/476?

GCF of 3752/660, 5333/476

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 3752/660, 5333/476 i.e 1/78540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3752/660, 5333/476.

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 3752/660,5333/476?

Given fractions are 3752/660,5333/476

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 3752/660,5333/476, numerators are 3752,5333

Denominators are 660,476

The GCF of 3752,5333 is 1 .

LCM of 660,476 is 78540.

The greatest common factor of 3752/660,5333/476 = [GCF of 3752,5333]/[LCM of 660,476]= 1/78540

Therefore, the GCF of 3752/660,5333/476 is 1/78540.

Greatest Common Factor of 3752,5333

To find the highest common factor of 3752,5333, we have to find the factors of both numbers and list the highest common factor.

The factors of 3752 are 1, 2, 4, 7, 8, 14, 28, 56, 67, 134, 268, 469, 536, 938, 1876, 3752

The factors of 5333 are 1, 5333

The HCF of 3752,5333 is 1.

Lets's calculate GCF of 3752,5333

Greatest Common Factor (GCF) of 3752,5333 By Common Division

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

Greatest Common Factor of 3752,5333 By Matching Biggest Common Factor Method

Now, list down the factors of 3752

1,2,4,7,8,14,28,56,67,134,268,469,536,938,1876,3752

Now, list down the factors of 5333

1,5333

Greatest Common Factor

We found the factors 3752,5333 . The biggest common factor number is the GCF number.
So the greatest common factor 3752,5333 is 1.

Lets's calculate LCM of 660,476

Lowest Common Multiple of 660,476 using Common Division

2	660, 476
2	330, 238
	165, 119

∴ So the LCM of the given numbers is 2 x 2 x 165 x 119 = 78540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78540

Therefore, the GCF of Fractions 3752/660,5333/476 is 1/78540

Least Common Multiple of 660,476 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 660,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,476) = 4

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

GCF(660,476) x common factors =4 x 1 = 4

LCM(660,476) = ( 660 × 476 ) / 4

LCM(660,476) = 314160 / 4

LCM(660,476) = 78540

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FAQs on GCF of Fractions of 3752/660, 5333/476

1. What is the HCF of 3752,5333?

The HCF of 3752,5333 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 3752/660, 5333/476?

Answer: GCF of Numerators as per given numbers 3752/660, 5333/476 is

GCF of Numerators i.e. for 3752,5333 is 1

LCM of denominators i.e. for 660,476 is 78540.

Thus, GCF of Fractions is 1/78540.Finally, GCF of Fractions for 3752/660, 5333/476 is 1/78540.