How to Find GCF of 452/401, 3708/6870?

GCF of 452/401, 3708/6870

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 452/401, 3708/6870 i.e 4/2754870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 452/401, 3708/6870.

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 452/401,3708/6870?

Given fractions are 452/401,3708/6870

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 452/401,3708/6870, numerators are 452,3708

Denominators are 401,6870

The GCF of 452,3708 is 4 .

LCM of 401,6870 is 2754870.

The greatest common factor of 452/401,3708/6870 = [GCF of 452,3708]/[LCM of 401,6870]= 4/2754870

Therefore, the GCF of 452/401,3708/6870 is 4/2754870.

Greatest Common Factor of 452,3708

To find the highest common factor of 452,3708, we have to find the factors of both numbers and list the highest common factor.

The factors of 452 are 1, 2, 4, 113, 226, 452

The factors of 3708 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708

The HCF of 452,3708 is 4.

Lets's calculate GCF of 452,3708

Greatest Common Factor (GCF) of 452,3708 By Common Division

2	452, 3708
2	226, 1854
	113, 927

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 452,3708 By Matching Biggest Common Factor Method

Now, list down the factors of 452

1,2,4,113,226,452

Now, list down the factors of 3708

1,2,3,4,6,9,12,18,36,103,206,309,412,618,927,1236,1854,3708

Greatest Common Factor

We found the factors 452,3708 . The biggest common factor number is the GCF number.
So the greatest common factor 452,3708 is 4.

Lets's calculate LCM of 401,6870

Lowest Common Multiple of 401,6870 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2754870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2754870

Therefore, the GCF of Fractions 452/401,3708/6870 is 4/2754870

Least Common Multiple of 401,6870 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 401,6870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,6870) = 1

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

GCF(401,6870) x common factors =1 x 1 = 1

LCM(401,6870) = ( 401 × 6870 ) / 1

LCM(401,6870) = 2754870 / 1

LCM(401,6870) = 2754870

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FAQs on GCF of Fractions of 452/401, 3708/6870

1. What is the HCF of 452,3708?

The HCF of 452,3708 is 4

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 452/401, 3708/6870?

Answer: GCF of Numerators as per given numbers 452/401, 3708/6870 is

GCF of Numerators i.e. for 452,3708 is 4

LCM of denominators i.e. for 401,6870 is 2754870.

Thus, GCF of Fractions is 4/2754870.Finally, GCF of Fractions for 452/401, 3708/6870 is 4/2754870.