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GCF of 3851/959, 9229/375

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 3851/959, 9229/375 i.e 1/359625 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3851/959, 9229/375.

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 3851/959,9229/375?

Given fractions are 3851/959,9229/375

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 3851/959,9229/375, numerators are 3851,9229

Denominators are 959,375

The GCF of 3851,9229 is 1 .

LCM of 959,375 is 359625.

The greatest common factor of 3851/959,9229/375 = [GCF of 3851,9229]/[LCM of 959,375]= 1/359625

Therefore, the GCF of 3851/959,9229/375 is 1/359625.

Greatest Common Factor of 3851,9229

To find the highest common factor of 3851,9229, we have to find the factors of both numbers and list the highest common factor.

The factors of 3851 are 1, 3851

The factors of 9229 are 1, 11, 839, 9229

The HCF of 3851,9229 is 1.

Lets's calculate GCF of 3851,9229

Greatest Common Factor (GCF) of 3851,9229 By Common Division

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

Greatest Common Factor of 3851,9229 By Matching Biggest Common Factor Method

Greatest Common Factor of 3851,9229 By Matching Biggest Common Factor Method

Now, list down the factors of 3851

:

1,3851

Now, list down the factors of 9229

:

1,11,839,9229

Greatest Common Factor

We found the factors 3851,9229 . The biggest common factor number is the GCF number.
So the greatest common factor 3851,9229 is 1.

Lets's calculate LCM of 959,375

Lowest Common Multiple of 959,375 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 359625

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/359625

Therefore, the GCF of Fractions 3851/959,9229/375 is 1/359625

Least Common Multiple of 959,375 with GCF Formula

Least Common Multiple of 959,375 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 959,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,375) = 1

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

GCF(959,375) x common factors =1 x 1 = 1

LCM(959,375) = ( 959 × 375 ) / 1

LCM(959,375) = 359625 / 1

LCM(959,375) = 359625


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FAQs on GCF of Fractions of 3851/959, 9229/375

1. What is the HCF of 3851,9229?

The HCF of 3851,9229 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 3851/959, 9229/375?

Answer: GCF of Numerators as per given numbers 3851/959, 9229/375 is

GCF of Numerators i.e. for 3851,9229 is 1

LCM of denominators i.e. for 959,375 is 359625.

Thus, GCF of Fractions is 1/359625.Finally, GCF of Fractions for 3851/959, 9229/375 is 1/359625.