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GCF of 9156/842, 4257/1634

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 9156/842, 4257/1634 i.e 3/687914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9156/842, 4257/1634.

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 9156/842,4257/1634?

Given fractions are 9156/842,4257/1634

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 9156/842,4257/1634, numerators are 9156,4257

Denominators are 842,1634

The GCF of 9156,4257 is 3 .

LCM of 842,1634 is 687914.

The greatest common factor of 9156/842,4257/1634 = [GCF of 9156,4257]/[LCM of 842,1634]= 3/687914

Therefore, the GCF of 9156/842,4257/1634 is 3/687914.

Greatest Common Factor of 9156,4257

To find the highest common factor of 9156,4257, we have to find the factors of both numbers and list the highest common factor.

The factors of 9156 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 109, 218, 327, 436, 654, 763, 1308, 1526, 2289, 3052, 4578, 9156

The factors of 4257 are 1, 3, 9, 11, 33, 43, 99, 129, 387, 473, 1419, 4257

The HCF of 9156,4257 is 3.

Lets's calculate GCF of 9156,4257

Greatest Common Factor (GCF) of 9156,4257 By Common Division

3 9156, 4257
3052, 1419

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9156,4257 By Matching Biggest Common Factor Method

Greatest Common Factor of 9156,4257 By Matching Biggest Common Factor Method

Now, list down the factors of 9156

:

1,2,3,4,6,7,12,14,21,28,42,84,109,218,327,436,654,763,1308,1526,2289,3052,4578,9156

Now, list down the factors of 4257

:

1,3,9,11,33,43,99,129,387,473,1419,4257

Greatest Common Factor

We found the factors 9156,4257 . The biggest common factor number is the GCF number.
So the greatest common factor 9156,4257 is 3.


Lets's calculate LCM of 842,1634

Lowest Common Multiple of 842,1634 using Common Division

2 842, 1634
421, 817

∴ So the LCM of the given numbers is 2 x 421 x 817 = 687914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/687914

Therefore, the GCF of Fractions 9156/842,4257/1634 is 3/687914

Least Common Multiple of 842,1634 with GCF Formula

Least Common Multiple of 842,1634 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 842,1634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,1634) = 2

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

GCF(842,1634) x common factors =2 x 1 = 2

LCM(842,1634) = ( 842 × 1634 ) / 2

LCM(842,1634) = 1375828 / 2

LCM(842,1634) = 687914


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9156/842, 4257/1634

1. What is the HCF of 9156,4257?

The HCF of 9156,4257 is 3

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 9156/842, 4257/1634?

Answer: GCF of Numerators as per given numbers 9156/842, 4257/1634 is

GCF of Numerators i.e. for 9156,4257 is 3

LCM of denominators i.e. for 842,1634 is 687914.

Thus, GCF of Fractions is 3/687914.Finally, GCF of Fractions for 9156/842, 4257/1634 is 3/687914.