How to Find GCF of 935/978, 6350/252?

GCF of 935/978, 6350/252

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 935/978, 6350/252 i.e 5/41076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 935/978, 6350/252.

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 935/978,6350/252?

Given fractions are 935/978,6350/252

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 935/978,6350/252, numerators are 935,6350

Denominators are 978,252

The GCF of 935,6350 is 5 .

LCM of 978,252 is 41076.

The greatest common factor of 935/978,6350/252 = [GCF of 935,6350]/[LCM of 978,252]= 5/41076

Therefore, the GCF of 935/978,6350/252 is 5/41076.

Greatest Common Factor of 935,6350

To find the highest common factor of 935,6350, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 6350 are 1, 2, 5, 10, 25, 50, 127, 254, 635, 1270, 3175, 6350

The HCF of 935,6350 is 5.

Lets's calculate GCF of 935,6350

Greatest Common Factor (GCF) of 935,6350 By Common Division

5	935, 6350
	187, 1270

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

Greatest Common Factor of 935,6350 By Matching Biggest Common Factor Method

Now, list down the factors of 935

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

Now, list down the factors of 6350

1,2,5,10,25,50,127,254,635,1270,3175,6350

Greatest Common Factor

We found the factors 935,6350 . The biggest common factor number is the GCF number.
So the greatest common factor 935,6350 is 5.

Lets's calculate LCM of 978,252

Lowest Common Multiple of 978,252 using Common Division

2	978, 252
3	489, 126
	163, 42

∴ So the LCM of the given numbers is 2 x 3 x 163 x 42 = 41076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/41076

Therefore, the GCF of Fractions 935/978,6350/252 is 5/41076

Least Common Multiple of 978,252 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 978,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,252) = 6

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

GCF(978,252) x common factors =6 x 1 = 6

LCM(978,252) = ( 978 × 252 ) / 6

LCM(978,252) = 246456 / 6

LCM(978,252) = 41076

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 935/978, 6350/252

1. What is the HCF of 935,6350?

The HCF of 935,6350 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 935/978, 6350/252?

Answer: GCF of Numerators as per given numbers 935/978, 6350/252 is

GCF of Numerators i.e. for 935,6350 is 5

LCM of denominators i.e. for 978,252 is 41076.

Thus, GCF of Fractions is 5/41076.Finally, GCF of Fractions for 935/978, 6350/252 is 5/41076.