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GCF of 907/214, 3678/159

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 907/214, 3678/159 i.e 1/34026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 907/214, 3678/159.

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 907/214,3678/159?

Given fractions are 907/214,3678/159

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 907/214,3678/159, numerators are 907,3678

Denominators are 214,159

The GCF of 907,3678 is 1 .

LCM of 214,159 is 34026.

The greatest common factor of 907/214,3678/159 = [GCF of 907,3678]/[LCM of 214,159]= 1/34026

Therefore, the GCF of 907/214,3678/159 is 1/34026.

Greatest Common Factor of 907,3678

To find the highest common factor of 907,3678, we have to find the factors of both numbers and list the highest common factor.

The factors of 907 are 1, 907

The factors of 3678 are 1, 2, 3, 6, 613, 1226, 1839, 3678

The HCF of 907,3678 is 1.

Lets's calculate GCF of 907,3678

Greatest Common Factor (GCF) of 907,3678 By Common Division

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

Greatest Common Factor of 907,3678 By Matching Biggest Common Factor Method

Greatest Common Factor of 907,3678 By Matching Biggest Common Factor Method

Now, list down the factors of 907

:

1,907

Now, list down the factors of 3678

:

1,2,3,6,613,1226,1839,3678

Greatest Common Factor

We found the factors 907,3678 . The biggest common factor number is the GCF number.
So the greatest common factor 907,3678 is 1.

Lets's calculate LCM of 214,159

Lowest Common Multiple of 214,159 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 34026

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34026

Therefore, the GCF of Fractions 907/214,3678/159 is 1/34026

Least Common Multiple of 214,159 with GCF Formula

Least Common Multiple of 214,159 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 214,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,159) = 1

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

GCF(214,159) x common factors =1 x 1 = 1

LCM(214,159) = ( 214 × 159 ) / 1

LCM(214,159) = 34026 / 1

LCM(214,159) = 34026


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FAQs on GCF of Fractions of 907/214, 3678/159

1. What is the HCF of 907,3678?

The HCF of 907,3678 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 907/214, 3678/159?

Answer: GCF of Numerators as per given numbers 907/214, 3678/159 is

GCF of Numerators i.e. for 907,3678 is 1

LCM of denominators i.e. for 214,159 is 34026.

Thus, GCF of Fractions is 1/34026.Finally, GCF of Fractions for 907/214, 3678/159 is 1/34026.