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GCF of 500/355, 290/791

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 500/355, 290/791 i.e 10/280805 easily. The following is the detailed procedure to determine the greatest common factor of fractions 500/355, 290/791.

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 500/355,290/791?

Given fractions are 500/355,290/791

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 500/355,290/791, numerators are 500,290

Denominators are 355,791

The GCF of 500,290 is 10 .

LCM of 355,791 is 280805.

The greatest common factor of 500/355,290/791 = [GCF of 500,290]/[LCM of 355,791]= 10/280805

Therefore, the GCF of 500/355,290/791 is 10/280805.

Greatest Common Factor of 500,290

To find the highest common factor of 500,290, we have to find the factors of both numbers and list the highest common factor.

The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290

The HCF of 500,290 is 10.

Lets's calculate GCF of 500,290

Greatest Common Factor (GCF) of 500,290 By Common Division

2 500, 290
5 250, 145
50, 29

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 500,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,290 By Matching Biggest Common Factor Method

Now, list down the factors of 500

:

1,2,4,5,10,20,25,50,100,125,250,500

Now, list down the factors of 290

:

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 500,290 . The biggest common factor number is the GCF number.
So the greatest common factor 500,290 is 10.

Lets's calculate LCM of 355,791

Lowest Common Multiple of 355,791 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 280805

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/280805

Therefore, the GCF of Fractions 500/355,290/791 is 10/280805

Least Common Multiple of 355,791 with GCF Formula

Least Common Multiple of 355,791 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 355,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,791) = 1

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

GCF(355,791) x common factors =1 x 1 = 1

LCM(355,791) = ( 355 × 791 ) / 1

LCM(355,791) = 280805 / 1

LCM(355,791) = 280805


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FAQs on GCF of Fractions of 500/355, 290/791

1. What is the HCF of 500,290?

The HCF of 500,290 is 10

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 500/355, 290/791?

Answer: GCF of Numerators as per given numbers 500/355, 290/791 is

GCF of Numerators i.e. for 500,290 is 10

LCM of denominators i.e. for 355,791 is 280805.

Thus, GCF of Fractions is 10/280805.Finally, GCF of Fractions for 500/355, 290/791 is 10/280805.