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GCF of 97/388, 21/245, 279/175

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 97/388, 21/245, 279/175 i.e 1/475300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/388, 21/245, 279/175.

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 97/388,21/245,279/175?

Given fractions are 97/388,21/245,279/175

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 97/388,21/245,279/175, numerators are 97,21,279

Denominators are 388,245,175

The GCF of 97,21,279 is 1 .

LCM of 388,245,175 is 475300.

The greatest common factor of 97/388,21/245,279/175 = [GCF of 97,21,279]/[LCM of 388,245,175]= 1/475300

Therefore, the GCF of 97/388,21/245,279/175 is 1/475300.

Greatest Common Factor of 97,21,279

To find the highest common factor of 97,21,279, we have to find the factors of both numbers and list the highest common factor.

The factors of 97 are 1, 97

The factors of 21 are 1, 3, 7, 21

The factors of 279 are 1, 3, 9, 31, 93, 279

The HCF of 97,21,279 is 1.

Lets's calculate GCF of 97,21,279

Greatest Common Factor (GCF) of 97,21,279 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 97,21,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,21,279 By Matching Biggest Common Factor Method

Now, list down the factors of 97

:

1,97

Now, list down the factors of 21

:

1,3,7,21

Now, list down the factors of 279

:

1,3,9,31,93,279

Greatest Common Factor

We found the factors 97,21,279 . The biggest common factor number is the GCF number.
So the greatest common factor 97,21,279 is 1.


Lets's calculate LCM of 388,245,175

Lowest Common Multiple of 388,245,175 using Common Division

5 388, 245, 175
7 388, 49, 35
388, 7, 5

∴ So the LCM of the given numbers is 5 x 7 x 388 x 7 x 5 = 475300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/475300

Therefore, the GCF of Fractions 97/388,21/245,279/175 is 1/475300

Least Common Multiple of 388,245,175 with GCF Formula

Least Common Multiple of 388,245,175 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 388,245,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,245,175) = 1

common factors(in case of two or more numbers have common factors) = 35

GCF(388,245,175) x common factors =1 x 35 = 35

LCM(388,245,175) = ( 388 × 245 × 175 ) / 35

LCM(388,245,175) = 16635500 / 35

LCM(388,245,175) = 475300


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 97/388, 21/245, 279/175

1. What is the HCF of 97,21,279?

The HCF of 97,21,279 is 1

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 97/388, 21/245, 279/175?

Answer: GCF of Numerators as per given numbers 97/388, 21/245, 279/175 is

GCF of Numerators i.e. for 97,21,279 is 1

LCM of denominators i.e. for 388,245,175 is 475300.

Thus, GCF of Fractions is 1/475300.Finally, GCF of Fractions for 97/388, 21/245, 279/175 is 1/475300.