How to Find GCF of 460/956, 456/753?

GCF of 460/956, 456/753

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 460/956, 456/753 i.e 4/719868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 460/956, 456/753.

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 460/956,456/753?

Given fractions are 460/956,456/753

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 460/956,456/753, numerators are 460,456

Denominators are 956,753

The GCF of 460,456 is 4 .

LCM of 956,753 is 719868.

The greatest common factor of 460/956,456/753 = [GCF of 460,456]/[LCM of 956,753]= 4/719868

Therefore, the GCF of 460/956,456/753 is 4/719868.

Greatest Common Factor of 460,456

To find the highest common factor of 460,456, we have to find the factors of both numbers and list the highest common factor.

The factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

The factors of 456 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

The HCF of 460,456 is 4.

Lets's calculate GCF of 460,456

Greatest Common Factor (GCF) of 460,456 By Common Division

2	460, 456
2	230, 228
	115, 114

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 460,456 By Matching Biggest Common Factor Method

Now, list down the factors of 460

1,2,4,5,10,20,23,46,92,115,230,460

Now, list down the factors of 456

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 460,456 . The biggest common factor number is the GCF number.
So the greatest common factor 460,456 is 4.

Lets's calculate LCM of 956,753

Lowest Common Multiple of 956,753 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 719868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/719868

Therefore, the GCF of Fractions 460/956,456/753 is 4/719868

Least Common Multiple of 956,753 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 956,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,753) = 1

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

GCF(956,753) x common factors =1 x 1 = 1

LCM(956,753) = ( 956 × 753 ) / 1

LCM(956,753) = 719868 / 1

LCM(956,753) = 719868

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FAQs on GCF of Fractions of 460/956, 456/753

1. What is the HCF of 460,456?

The HCF of 460,456 is 4

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 460/956, 456/753?

Answer: GCF of Numerators as per given numbers 460/956, 456/753 is

GCF of Numerators i.e. for 460,456 is 4

LCM of denominators i.e. for 956,753 is 719868.

Thus, GCF of Fractions is 4/719868.Finally, GCF of Fractions for 460/956, 456/753 is 4/719868.