How to Find GCF of 398/376, 3629/688?

GCF of 398/376, 3629/688

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 398/376, 3629/688 i.e 1/32336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 398/376, 3629/688.

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 398/376,3629/688?

Given fractions are 398/376,3629/688

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 398/376,3629/688, numerators are 398,3629

Denominators are 376,688

The GCF of 398,3629 is 1 .

LCM of 376,688 is 32336.

The greatest common factor of 398/376,3629/688 = [GCF of 398,3629]/[LCM of 376,688]= 1/32336

Therefore, the GCF of 398/376,3629/688 is 1/32336.

Greatest Common Factor of 398,3629

To find the highest common factor of 398,3629, we have to find the factors of both numbers and list the highest common factor.

The factors of 398 are 1, 2, 199, 398

The factors of 3629 are 1, 19, 191, 3629

The HCF of 398,3629 is 1.

Lets's calculate GCF of 398,3629

Greatest Common Factor (GCF) of 398,3629 By Common Division

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

Greatest Common Factor of 398,3629 By Matching Biggest Common Factor Method

Now, list down the factors of 398

1,2,199,398

Now, list down the factors of 3629

1,19,191,3629

Greatest Common Factor

We found the factors 398,3629 . The biggest common factor number is the GCF number.
So the greatest common factor 398,3629 is 1.

Lets's calculate LCM of 376,688

Lowest Common Multiple of 376,688 using Common Division

2	376, 688
2	188, 344
2	94, 172
	47, 86

∴ So the LCM of the given numbers is 2 x 2 x 2 x 47 x 86 = 32336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32336

Therefore, the GCF of Fractions 398/376,3629/688 is 1/32336

Least Common Multiple of 376,688 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 376,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,688) = 8

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

GCF(376,688) x common factors =8 x 1 = 8

LCM(376,688) = ( 376 × 688 ) / 8

LCM(376,688) = 258688 / 8

LCM(376,688) = 32336

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FAQs on GCF of Fractions of 398/376, 3629/688

1. What is the HCF of 398,3629?

The HCF of 398,3629 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 398/376, 3629/688?

Answer: GCF of Numerators as per given numbers 398/376, 3629/688 is

GCF of Numerators i.e. for 398,3629 is 1

LCM of denominators i.e. for 376,688 is 32336.

Thus, GCF of Fractions is 1/32336.Finally, GCF of Fractions for 398/376, 3629/688 is 1/32336.