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GCF of 970/109, 170/699

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 970/109, 170/699 i.e 10/76191 easily. The following is the detailed procedure to determine the greatest common factor of fractions 970/109, 170/699.

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 970/109,170/699?

Given fractions are 970/109,170/699

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 970/109,170/699, numerators are 970,170

Denominators are 109,699

The GCF of 970,170 is 10 .

LCM of 109,699 is 76191.

The greatest common factor of 970/109,170/699 = [GCF of 970,170]/[LCM of 109,699]= 10/76191

Therefore, the GCF of 970/109,170/699 is 10/76191.

Greatest Common Factor of 970,170

To find the highest common factor of 970,170, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170

The HCF of 970,170 is 10.

Lets's calculate GCF of 970,170

Greatest Common Factor (GCF) of 970,170 By Common Division

2 970, 170
5 485, 85
97, 17

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

Greatest Common Factor of 970,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,170 By Matching Biggest Common Factor Method

Now, list down the factors of 970

:

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

Now, list down the factors of 170

:

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 970,170 . The biggest common factor number is the GCF number.
So the greatest common factor 970,170 is 10.

Lets's calculate LCM of 109,699

Lowest Common Multiple of 109,699 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 76191

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/76191

Therefore, the GCF of Fractions 970/109,170/699 is 10/76191

Least Common Multiple of 109,699 with GCF Formula

Least Common Multiple of 109,699 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 109,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,699) = 1

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

GCF(109,699) x common factors =1 x 1 = 1

LCM(109,699) = ( 109 × 699 ) / 1

LCM(109,699) = 76191 / 1

LCM(109,699) = 76191


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FAQs on GCF of Fractions of 970/109, 170/699

1. What is the HCF of 970,170?

The HCF of 970,170 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 970/109, 170/699?

Answer: GCF of Numerators as per given numbers 970/109, 170/699 is

GCF of Numerators i.e. for 970,170 is 10

LCM of denominators i.e. for 109,699 is 76191.

Thus, GCF of Fractions is 10/76191.Finally, GCF of Fractions for 970/109, 170/699 is 10/76191.