Greatest Common Factor of 710/616, 670/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 710/616, 670/950

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 710/616,670/950

Given fractions are 710/616,670/950

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 710,670

Greatest Common Factor of Numerators i.e. GCF of 710,670 is 10 .

LCM of Denominators means LCM of 616,950 as per the given fractions.

LCM of 616,950 is 292600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 710,670

GCF of Fractions 710/616,670/950 is 10/292600

2 710, 670
5 355, 335
71, 67

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

Greatest Common Factor of 710,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,670 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 710,670 . The biggest common factor number is the GCF number.
So the greatest common factor 710,670 is 10.

Lets's calculate LCM of 616,950

2 616, 950
308, 475

∴ So the LCM of the given numbers is 2 x 308 x 475 = 292600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/292600

Therefore, the GCF of Fractions 710/616,670/950 is 10/292600

Least Common Multiple of 616,950 with GCF Formula

Least Common Multiple of 616,950 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 616,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,950) = 2

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

GCF(616,950) x common factors =2 x 1 = 2

LCM(616,950) = ( 616 × 950 ) / 2

LCM(616,950) = 585200 / 2

LCM(616,950) = 292600


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 710/616, 670/950

1. 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.

2. What is the GCF of Fractions for 710/616, 670/950?

Answer: GCF of Numerators as per given numbers 710/616, 670/950 is

GCF of Numerators i.e. for 710,670 is 10

LCM of denominators i.e. for 616,950 is 292600.

Thus, GCF of Fractions is 10/292600.Finally, GCF of Fractions for 710/616, 670/950 is 10/292600.