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GCF of 3824/916, 6358/140

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 3824/916, 6358/140 i.e 2/32060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3824/916, 6358/140.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 3824/916,6358/140?

Given fractions are 3824/916,6358/140

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 3824/916,6358/140, numerators are 3824,6358

Denominators are 916,140

The GCF of 3824,6358 is 2 .

LCM of 916,140 is 32060.

The greatest common factor of 3824/916,6358/140 = [GCF of 3824,6358]/[LCM of 916,140]= 2/32060

Therefore, the GCF of 3824/916,6358/140 is 2/32060.

Greatest Common Factor of 3824,6358

To find the highest common factor of 3824,6358, we have to find the factors of both numbers and list the highest common factor.

The factors of 3824 are 1, 2, 4, 8, 16, 239, 478, 956, 1912, 3824

The factors of 6358 are 1, 2, 11, 17, 22, 34, 187, 289, 374, 578, 3179, 6358

The HCF of 3824,6358 is 2.

Lets's calculate GCF of 3824,6358

Greatest Common Factor (GCF) of 3824,6358 By Common Division

2 3824, 6358
1912, 3179

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

Greatest Common Factor of 3824,6358 By Matching Biggest Common Factor Method

Greatest Common Factor of 3824,6358 By Matching Biggest Common Factor Method

Now, list down the factors of 3824

:

1,2,4,8,16,239,478,956,1912,3824

Now, list down the factors of 6358

:

1,2,11,17,22,34,187,289,374,578,3179,6358

Greatest Common Factor

We found the factors 3824,6358 . The biggest common factor number is the GCF number.
So the greatest common factor 3824,6358 is 2.


Lets's calculate LCM of 916,140

Lowest Common Multiple of 916,140 using Common Division

2 916, 140
2 458, 70
229, 35

∴ So the LCM of the given numbers is 2 x 2 x 229 x 35 = 32060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32060

Therefore, the GCF of Fractions 3824/916,6358/140 is 2/32060

Least Common Multiple of 916,140 with GCF Formula

Least Common Multiple of 916,140 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 916,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,140) = 4

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

GCF(916,140) x common factors =4 x 1 = 4

LCM(916,140) = ( 916 × 140 ) / 4

LCM(916,140) = 128240 / 4

LCM(916,140) = 32060


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 3824/916, 6358/140

1. What is the HCF of 3824,6358?

The HCF of 3824,6358 is 2

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 3824/916, 6358/140?

Answer: GCF of Numerators as per given numbers 3824/916, 6358/140 is

GCF of Numerators i.e. for 3824,6358 is 2

LCM of denominators i.e. for 916,140 is 32060.

Thus, GCF of Fractions is 2/32060.Finally, GCF of Fractions for 3824/916, 6358/140 is 2/32060.