How to Find GCF of 48/97, 935/28, 601/657?

GCF of 48/97, 935/28, 601/657

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 48/97, 935/28, 601/657 i.e 1/1784412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/97, 935/28, 601/657.

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 48/97,935/28,601/657?

Given fractions are 48/97,935/28,601/657

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 48/97,935/28,601/657, numerators are 48,935,601

Denominators are 97,28,657

The GCF of 48,935,601 is 1 .

LCM of 97,28,657 is 1784412.

The greatest common factor of 48/97,935/28,601/657 = [GCF of 48,935,601]/[LCM of 97,28,657]= 1/1784412

Therefore, the GCF of 48/97,935/28,601/657 is 1/1784412.

Greatest Common Factor of 48,935,601

To find the highest common factor of 48,935,601, we have to find the factors of both numbers and list the highest common factor.

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935

The factors of 601 are 1, 601

The HCF of 48,935,601 is 1.

Lets's calculate GCF of 48,935,601

Greatest Common Factor (GCF) of 48,935,601 By Common Division

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

Greatest Common Factor of 48,935,601 By Matching Biggest Common Factor Method

Now, list down the factors of 48

1,2,3,4,6,8,12,16,24,48

Now, list down the factors of 935

1,5,11,17,55,85,187,935

Now, list down the factors of 601

1,601

Greatest Common Factor

We found the factors 48,935,601 . The biggest common factor number is the GCF number.
So the greatest common factor 48,935,601 is 1.

Lets's calculate LCM of 97,28,657

Lowest Common Multiple of 97,28,657 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1784412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1784412

Therefore, the GCF of Fractions 48/97,935/28,601/657 is 1/1784412

Least Common Multiple of 97,28,657 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 97,28,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,28,657) = 1

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

GCF(97,28,657) x common factors =1 x 1 = 1

LCM(97,28,657) = ( 97 × 28 × 657 ) / 1

LCM(97,28,657) = 1784412 / 1

LCM(97,28,657) = 1784412

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FAQs on GCF of Fractions of 48/97, 935/28, 601/657

1. What is the HCF of 48,935,601?

The HCF of 48,935,601 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 48/97, 935/28, 601/657?

Answer: GCF of Numerators as per given numbers 48/97, 935/28, 601/657 is

GCF of Numerators i.e. for 48,935,601 is 1

LCM of denominators i.e. for 97,28,657 is 1784412.

Thus, GCF of Fractions is 1/1784412.Finally, GCF of Fractions for 48/97, 935/28, 601/657 is 1/1784412.