How to Find GCF of 935/960, 856/624?

GCF of 935/960, 856/624

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 935/960, 856/624 i.e 1/12480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 935/960, 856/624.

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 935/960,856/624?

Given fractions are 935/960,856/624

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 935/960,856/624, numerators are 935,856

Denominators are 960,624

The GCF of 935,856 is 1 .

LCM of 960,624 is 12480.

The greatest common factor of 935/960,856/624 = [GCF of 935,856]/[LCM of 960,624]= 1/12480

Therefore, the GCF of 935/960,856/624 is 1/12480.

Greatest Common Factor of 935,856

To find the highest common factor of 935,856, 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 856 are 1, 2, 4, 8, 107, 214, 428, 856

The HCF of 935,856 is 1.

Lets's calculate GCF of 935,856

Greatest Common Factor (GCF) of 935,856 By Common Division

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

Greatest Common Factor of 935,856 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 856

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 935,856 . The biggest common factor number is the GCF number.
So the greatest common factor 935,856 is 1.

Lets's calculate LCM of 960,624

Lowest Common Multiple of 960,624 using Common Division

2	960, 624
2	480, 312
2	240, 156
2	120, 78
3	60, 39
	20, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 20 x 13 = 12480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12480

Therefore, the GCF of Fractions 935/960,856/624 is 1/12480

Least Common Multiple of 960,624 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 960,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,624) = 48

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

GCF(960,624) x common factors =48 x 1 = 48

LCM(960,624) = ( 960 × 624 ) / 48

LCM(960,624) = 599040 / 48

LCM(960,624) = 12480

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FAQs on GCF of Fractions of 935/960, 856/624

1. What is the HCF of 935,856?

The HCF of 935,856 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 935/960, 856/624?

Answer: GCF of Numerators as per given numbers 935/960, 856/624 is

GCF of Numerators i.e. for 935,856 is 1

LCM of denominators i.e. for 960,624 is 12480.

Thus, GCF of Fractions is 1/12480.Finally, GCF of Fractions for 935/960, 856/624 is 1/12480.