How to Find GCF of 7891/883, 2210/793?

GCF of 7891/883, 2210/793

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 7891/883, 2210/793 i.e 13/700219 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7891/883, 2210/793.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 7891/883,2210/793?

Given fractions are 7891/883,2210/793

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 7891/883,2210/793, numerators are 7891,2210

Denominators are 883,793

The GCF of 7891,2210 is 13 .

LCM of 883,793 is 700219.

The greatest common factor of 7891/883,2210/793 = [GCF of 7891,2210]/[LCM of 883,793]= 13/700219

Therefore, the GCF of 7891/883,2210/793 is 13/700219.

Greatest Common Factor of 7891,2210

To find the highest common factor of 7891,2210, we have to find the factors of both numbers and list the highest common factor.

The factors of 7891 are 1, 13, 607, 7891

The factors of 2210 are 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105, 2210

The HCF of 7891,2210 is 13.

Lets's calculate GCF of 7891,2210

Greatest Common Factor (GCF) of 7891,2210 By Common Division

13	7891, 2210
	607, 170

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 7891,2210 By Matching Biggest Common Factor Method

Now, list down the factors of 7891

1,13,607,7891

Now, list down the factors of 2210

1,2,5,10,13,17,26,34,65,85,130,170,221,442,1105,2210

Greatest Common Factor

We found the factors 7891,2210 . The biggest common factor number is the GCF number.
So the greatest common factor 7891,2210 is 13.

Lets's calculate LCM of 883,793

Lowest Common Multiple of 883,793 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 700219

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/700219

Therefore, the GCF of Fractions 7891/883,2210/793 is 13/700219

Least Common Multiple of 883,793 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 883,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(883,793) = 1

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

GCF(883,793) x common factors =1 x 1 = 1

LCM(883,793) = ( 883 × 793 ) / 1

LCM(883,793) = 700219 / 1

LCM(883,793) = 700219

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7891/883, 2210/793

1. What is the HCF of 7891,2210?

The HCF of 7891,2210 is 13

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 7891/883, 2210/793?

Answer: GCF of Numerators as per given numbers 7891/883, 2210/793 is

GCF of Numerators i.e. for 7891,2210 is 13

LCM of denominators i.e. for 883,793 is 700219.

Thus, GCF of Fractions is 13/700219.Finally, GCF of Fractions for 7891/883, 2210/793 is 13/700219.