How to Find GCF of 3801/640, 7557/7088?

GCF of 3801/640, 7557/7088

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 3801/640, 7557/7088 i.e 3/283520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3801/640, 7557/7088.

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 3801/640,7557/7088?

Given fractions are 3801/640,7557/7088

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 3801/640,7557/7088, numerators are 3801,7557

Denominators are 640,7088

The GCF of 3801,7557 is 3 .

LCM of 640,7088 is 283520.

The greatest common factor of 3801/640,7557/7088 = [GCF of 3801,7557]/[LCM of 640,7088]= 3/283520

Therefore, the GCF of 3801/640,7557/7088 is 3/283520.

Greatest Common Factor of 3801,7557

To find the highest common factor of 3801,7557, we have to find the factors of both numbers and list the highest common factor.

The factors of 3801 are 1, 3, 7, 21, 181, 543, 1267, 3801

The factors of 7557 are 1, 3, 11, 33, 229, 687, 2519, 7557

The HCF of 3801,7557 is 3.

Lets's calculate GCF of 3801,7557

Greatest Common Factor (GCF) of 3801,7557 By Common Division

3	3801, 7557
	1267, 2519

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3801,7557 By Matching Biggest Common Factor Method

Now, list down the factors of 3801

1,3,7,21,181,543,1267,3801

Now, list down the factors of 7557

1,3,11,33,229,687,2519,7557

Greatest Common Factor

We found the factors 3801,7557 . The biggest common factor number is the GCF number.
So the greatest common factor 3801,7557 is 3.

Lets's calculate LCM of 640,7088

Lowest Common Multiple of 640,7088 using Common Division

2	640, 7088
2	320, 3544
2	160, 1772
2	80, 886
	40, 443

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 40 x 443 = 283520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/283520

Therefore, the GCF of Fractions 3801/640,7557/7088 is 3/283520

Least Common Multiple of 640,7088 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 640,7088 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,7088) = 16

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

GCF(640,7088) x common factors =16 x 1 = 16

LCM(640,7088) = ( 640 × 7088 ) / 16

LCM(640,7088) = 4536320 / 16

LCM(640,7088) = 283520

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3801/640, 7557/7088

1. What is the HCF of 3801,7557?

The HCF of 3801,7557 is 3

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 3801/640, 7557/7088?

Answer: GCF of Numerators as per given numbers 3801/640, 7557/7088 is

GCF of Numerators i.e. for 3801,7557 is 3

LCM of denominators i.e. for 640,7088 is 283520.

Thus, GCF of Fractions is 3/283520.Finally, GCF of Fractions for 3801/640, 7557/7088 is 3/283520.