How to Find GCF of 910/707, 970/109?

GCF of 910/707, 970/109

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 910/707, 970/109 i.e 10/77063 easily. The following is the detailed procedure to determine the greatest common factor of fractions 910/707, 970/109.

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 910/707,970/109?

Given fractions are 910/707,970/109

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 910/707,970/109, numerators are 910,970

Denominators are 707,109

The GCF of 910,970 is 10 .

LCM of 707,109 is 77063.

The greatest common factor of 910/707,970/109 = [GCF of 910,970]/[LCM of 707,109]= 10/77063

Therefore, the GCF of 910/707,970/109 is 10/77063.

Greatest Common Factor of 910,970

To find the highest common factor of 910,970, we have to find the factors of both numbers and list the highest common factor.

The factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

The factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970

The HCF of 910,970 is 10.

Lets's calculate GCF of 910,970

Greatest Common Factor (GCF) of 910,970 By Common Division

2	910, 970
5	455, 485
	91, 97

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

Greatest Common Factor of 910,970 By Matching Biggest Common Factor Method

Now, list down the factors of 910

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Now, list down the factors of 970

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 910,970 . The biggest common factor number is the GCF number.
So the greatest common factor 910,970 is 10.

Lets's calculate LCM of 707,109

Lowest Common Multiple of 707,109 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 77063

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/77063

Therefore, the GCF of Fractions 910/707,970/109 is 10/77063

Least Common Multiple of 707,109 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 707,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(707,109) = 1

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

GCF(707,109) x common factors =1 x 1 = 1

LCM(707,109) = ( 707 × 109 ) / 1

LCM(707,109) = 77063 / 1

LCM(707,109) = 77063

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FAQs on GCF of Fractions of 910/707, 970/109

1. What is the HCF of 910,970?

The HCF of 910,970 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 910/707, 970/109?

Answer: GCF of Numerators as per given numbers 910/707, 970/109 is

GCF of Numerators i.e. for 910,970 is 10

LCM of denominators i.e. for 707,109 is 77063.

Thus, GCF of Fractions is 10/77063.Finally, GCF of Fractions for 910/707, 970/109 is 10/77063.