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GCF of 8384/355, 5624/6157

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 8384/355, 5624/6157 i.e 8/2185735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8384/355, 5624/6157.

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 8384/355,5624/6157?

Given fractions are 8384/355,5624/6157

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 8384/355,5624/6157, numerators are 8384,5624

Denominators are 355,6157

The GCF of 8384,5624 is 8 .

LCM of 355,6157 is 2185735.

The greatest common factor of 8384/355,5624/6157 = [GCF of 8384,5624]/[LCM of 355,6157]= 8/2185735

Therefore, the GCF of 8384/355,5624/6157 is 8/2185735.

Greatest Common Factor of 8384,5624

To find the highest common factor of 8384,5624, we have to find the factors of both numbers and list the highest common factor.

The factors of 8384 are 1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384

The factors of 5624 are 1, 2, 4, 8, 19, 37, 38, 74, 76, 148, 152, 296, 703, 1406, 2812, 5624

The HCF of 8384,5624 is 8.

Lets's calculate GCF of 8384,5624

Greatest Common Factor (GCF) of 8384,5624 By Common Division

2 8384, 5624
2 4192, 2812
2 2096, 1406
1048, 703

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 8384,5624 By Matching Biggest Common Factor Method

Greatest Common Factor of 8384,5624 By Matching Biggest Common Factor Method

Now, list down the factors of 8384

:

1,2,4,8,16,32,64,131,262,524,1048,2096,4192,8384

Now, list down the factors of 5624

:

1,2,4,8,19,37,38,74,76,148,152,296,703,1406,2812,5624

Greatest Common Factor

We found the factors 8384,5624 . The biggest common factor number is the GCF number.
So the greatest common factor 8384,5624 is 8.


Lets's calculate LCM of 355,6157

Lowest Common Multiple of 355,6157 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2185735

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2185735

Therefore, the GCF of Fractions 8384/355,5624/6157 is 8/2185735

Least Common Multiple of 355,6157 with GCF Formula

Least Common Multiple of 355,6157 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 355,6157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,6157) = 1

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

GCF(355,6157) x common factors =1 x 1 = 1

LCM(355,6157) = ( 355 × 6157 ) / 1

LCM(355,6157) = 2185735 / 1

LCM(355,6157) = 2185735


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 8384/355, 5624/6157

1. What is the HCF of 8384,5624?

The HCF of 8384,5624 is 8

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 8384/355, 5624/6157?

Answer: GCF of Numerators as per given numbers 8384/355, 5624/6157 is

GCF of Numerators i.e. for 8384,5624 is 8

LCM of denominators i.e. for 355,6157 is 2185735.

Thus, GCF of Fractions is 8/2185735.Finally, GCF of Fractions for 8384/355, 5624/6157 is 8/2185735.