How to Find GCF of 7790/899, 4310/140?

GCF of 7790/899, 4310/140

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 7790/899, 4310/140 i.e 10/125860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7790/899, 4310/140.

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 7790/899,4310/140?

Given fractions are 7790/899,4310/140

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 7790/899,4310/140, numerators are 7790,4310

Denominators are 899,140

The GCF of 7790,4310 is 10 .

LCM of 899,140 is 125860.

The greatest common factor of 7790/899,4310/140 = [GCF of 7790,4310]/[LCM of 899,140]= 10/125860

Therefore, the GCF of 7790/899,4310/140 is 10/125860.

Greatest Common Factor of 7790,4310

To find the highest common factor of 7790,4310, we have to find the factors of both numbers and list the highest common factor.

The factors of 7790 are 1, 2, 5, 10, 19, 38, 41, 82, 95, 190, 205, 410, 779, 1558, 3895, 7790

The factors of 4310 are 1, 2, 5, 10, 431, 862, 2155, 4310

The HCF of 7790,4310 is 10.

Lets's calculate GCF of 7790,4310

Greatest Common Factor (GCF) of 7790,4310 By Common Division

2	7790, 4310
5	3895, 2155
	779, 431

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

Greatest Common Factor of 7790,4310 By Matching Biggest Common Factor Method

Now, list down the factors of 7790

1,2,5,10,19,38,41,82,95,190,205,410,779,1558,3895,7790

Now, list down the factors of 4310

1,2,5,10,431,862,2155,4310

Greatest Common Factor

We found the factors 7790,4310 . The biggest common factor number is the GCF number.
So the greatest common factor 7790,4310 is 10.

Lets's calculate LCM of 899,140

Lowest Common Multiple of 899,140 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 125860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/125860

Therefore, the GCF of Fractions 7790/899,4310/140 is 10/125860

Least Common Multiple of 899,140 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 899,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,140) = 1

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

GCF(899,140) x common factors =1 x 1 = 1

LCM(899,140) = ( 899 × 140 ) / 1

LCM(899,140) = 125860 / 1

LCM(899,140) = 125860

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FAQs on GCF of Fractions of 7790/899, 4310/140

1. What is the HCF of 7790,4310?

The HCF of 7790,4310 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 7790/899, 4310/140?

Answer: GCF of Numerators as per given numbers 7790/899, 4310/140 is

GCF of Numerators i.e. for 7790,4310 is 10

LCM of denominators i.e. for 899,140 is 125860.

Thus, GCF of Fractions is 10/125860.Finally, GCF of Fractions for 7790/899, 4310/140 is 10/125860.