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GCF of 1356/641, 5644/930

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 1356/641, 5644/930 i.e 4/596130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1356/641, 5644/930.

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 1356/641,5644/930?

Given fractions are 1356/641,5644/930

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 1356/641,5644/930, numerators are 1356,5644

Denominators are 641,930

The GCF of 1356,5644 is 4 .

LCM of 641,930 is 596130.

The greatest common factor of 1356/641,5644/930 = [GCF of 1356,5644]/[LCM of 641,930]= 4/596130

Therefore, the GCF of 1356/641,5644/930 is 4/596130.

Greatest Common Factor of 1356,5644

To find the highest common factor of 1356,5644, we have to find the factors of both numbers and list the highest common factor.

The factors of 1356 are 1, 2, 3, 4, 6, 12, 113, 226, 339, 452, 678, 1356

The factors of 5644 are 1, 2, 4, 17, 34, 68, 83, 166, 332, 1411, 2822, 5644

The HCF of 1356,5644 is 4.

Lets's calculate GCF of 1356,5644

Greatest Common Factor (GCF) of 1356,5644 By Common Division

2 1356, 5644
2 678, 2822
339, 1411

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1356,5644 By Matching Biggest Common Factor Method

Greatest Common Factor of 1356,5644 By Matching Biggest Common Factor Method

Now, list down the factors of 1356

:

1,2,3,4,6,12,113,226,339,452,678,1356

Now, list down the factors of 5644

:

1,2,4,17,34,68,83,166,332,1411,2822,5644

Greatest Common Factor

We found the factors 1356,5644 . The biggest common factor number is the GCF number.
So the greatest common factor 1356,5644 is 4.


Lets's calculate LCM of 641,930

Lowest Common Multiple of 641,930 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 596130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/596130

Therefore, the GCF of Fractions 1356/641,5644/930 is 4/596130

Least Common Multiple of 641,930 with GCF Formula

Least Common Multiple of 641,930 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 641,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(641,930) = 1

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

GCF(641,930) x common factors =1 x 1 = 1

LCM(641,930) = ( 641 × 930 ) / 1

LCM(641,930) = 596130 / 1

LCM(641,930) = 596130


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1356/641, 5644/930

1. What is the HCF of 1356,5644?

The HCF of 1356,5644 is 4

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 1356/641, 5644/930?

Answer: GCF of Numerators as per given numbers 1356/641, 5644/930 is

GCF of Numerators i.e. for 1356,5644 is 4

LCM of denominators i.e. for 641,930 is 596130.

Thus, GCF of Fractions is 4/596130.Finally, GCF of Fractions for 1356/641, 5644/930 is 4/596130.