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GCF of 5624/815, 5294/620

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 5624/815, 5294/620 i.e 2/101060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5624/815, 5294/620.

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 5624/815,5294/620?

Given fractions are 5624/815,5294/620

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 5624/815,5294/620, numerators are 5624,5294

Denominators are 815,620

The GCF of 5624,5294 is 2 .

LCM of 815,620 is 101060.

The greatest common factor of 5624/815,5294/620 = [GCF of 5624,5294]/[LCM of 815,620]= 2/101060

Therefore, the GCF of 5624/815,5294/620 is 2/101060.

Greatest Common Factor of 5624,5294

To find the highest common factor of 5624,5294, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 5294 are 1, 2, 2647, 5294

The HCF of 5624,5294 is 2.

Lets's calculate GCF of 5624,5294

Greatest Common Factor (GCF) of 5624,5294 By Common Division

2 5624, 5294
2812, 2647

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

Greatest Common Factor of 5624,5294 By Matching Biggest Common Factor Method

Greatest Common Factor of 5624,5294 By Matching Biggest Common Factor Method

Now, list down the factors of 5624

:

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

Now, list down the factors of 5294

:

1,2,2647,5294

Greatest Common Factor

We found the factors 5624,5294 . The biggest common factor number is the GCF number.
So the greatest common factor 5624,5294 is 2.


Lets's calculate LCM of 815,620

Lowest Common Multiple of 815,620 using Common Division

5 815, 620
163, 124

∴ So the LCM of the given numbers is 5 x 163 x 124 = 101060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/101060

Therefore, the GCF of Fractions 5624/815,5294/620 is 2/101060

Least Common Multiple of 815,620 with GCF Formula

Least Common Multiple of 815,620 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 815,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(815,620) = 5

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

GCF(815,620) x common factors =5 x 1 = 5

LCM(815,620) = ( 815 × 620 ) / 5

LCM(815,620) = 505300 / 5

LCM(815,620) = 101060


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5624/815, 5294/620

1. What is the HCF of 5624,5294?

The HCF of 5624,5294 is 2

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 5624/815, 5294/620?

Answer: GCF of Numerators as per given numbers 5624/815, 5294/620 is

GCF of Numerators i.e. for 5624,5294 is 2

LCM of denominators i.e. for 815,620 is 101060.

Thus, GCF of Fractions is 2/101060.Finally, GCF of Fractions for 5624/815, 5294/620 is 2/101060.