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GCF of 970/75, 705/248

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 970/75, 705/248 i.e 5/18600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 970/75, 705/248.

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 970/75,705/248?

Given fractions are 970/75,705/248

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 970/75,705/248, numerators are 970,705

Denominators are 75,248

The GCF of 970,705 is 5 .

LCM of 75,248 is 18600.

The greatest common factor of 970/75,705/248 = [GCF of 970,705]/[LCM of 75,248]= 5/18600

Therefore, the GCF of 970/75,705/248 is 5/18600.

Greatest Common Factor of 970,705

To find the highest common factor of 970,705, 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 705 are 1, 3, 5, 15, 47, 141, 235, 705

The HCF of 970,705 is 5.

Lets's calculate GCF of 970,705

Greatest Common Factor (GCF) of 970,705 By Common Division

5 970, 705
194, 141

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 970,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,705 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 705

:

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 970,705 . The biggest common factor number is the GCF number.
So the greatest common factor 970,705 is 5.

Lets's calculate LCM of 75,248

Lowest Common Multiple of 75,248 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 18600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/18600

Therefore, the GCF of Fractions 970/75,705/248 is 5/18600

Least Common Multiple of 75,248 with GCF Formula

Least Common Multiple of 75,248 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 75,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,248) = 1

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

GCF(75,248) x common factors =1 x 1 = 1

LCM(75,248) = ( 75 × 248 ) / 1

LCM(75,248) = 18600 / 1

LCM(75,248) = 18600


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FAQs on GCF of Fractions of 970/75, 705/248

1. What is the HCF of 970,705?

The HCF of 970,705 is 5

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 970/75, 705/248?

Answer: GCF of Numerators as per given numbers 970/75, 705/248 is

GCF of Numerators i.e. for 970,705 is 5

LCM of denominators i.e. for 75,248 is 18600.

Thus, GCF of Fractions is 5/18600.Finally, GCF of Fractions for 970/75, 705/248 is 5/18600.