How to Find GCF of 964/70, 846/4688?

GCF of 964/70, 846/4688

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 964/70, 846/4688 i.e 2/164080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 964/70, 846/4688.

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 964/70,846/4688?

Given fractions are 964/70,846/4688

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 964/70,846/4688, numerators are 964,846

Denominators are 70,4688

The GCF of 964,846 is 2 .

LCM of 70,4688 is 164080.

The greatest common factor of 964/70,846/4688 = [GCF of 964,846]/[LCM of 70,4688]= 2/164080

Therefore, the GCF of 964/70,846/4688 is 2/164080.

Greatest Common Factor of 964,846

To find the highest common factor of 964,846, we have to find the factors of both numbers and list the highest common factor.

The factors of 964 are 1, 2, 4, 241, 482, 964

The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

The HCF of 964,846 is 2.

Lets's calculate GCF of 964,846

Greatest Common Factor (GCF) of 964,846 By Common Division

2	964, 846
	482, 423

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 964,846 By Matching Biggest Common Factor Method

Now, list down the factors of 964

1,2,4,241,482,964

Now, list down the factors of 846

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 964,846 . The biggest common factor number is the GCF number.
So the greatest common factor 964,846 is 2.

Lets's calculate LCM of 70,4688

Lowest Common Multiple of 70,4688 using Common Division

2	70, 4688
	35, 2344

∴ So the LCM of the given numbers is 2 x 35 x 2344 = 164080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/164080

Therefore, the GCF of Fractions 964/70,846/4688 is 2/164080

Least Common Multiple of 70,4688 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 70,4688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,4688) = 2

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

GCF(70,4688) x common factors =2 x 1 = 2

LCM(70,4688) = ( 70 × 4688 ) / 2

LCM(70,4688) = 328160 / 2

LCM(70,4688) = 164080

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FAQs on GCF of Fractions of 964/70, 846/4688

1. What is the HCF of 964,846?

The HCF of 964,846 is 2

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 964/70, 846/4688?

Answer: GCF of Numerators as per given numbers 964/70, 846/4688 is

GCF of Numerators i.e. for 964,846 is 2

LCM of denominators i.e. for 70,4688 is 164080.

Thus, GCF of Fractions is 2/164080.Finally, GCF of Fractions for 964/70, 846/4688 is 2/164080.