How to Find GCF of 467/762, 480/172?

GCF of 467/762, 480/172

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 467/762, 480/172 i.e 1/65532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 467/762, 480/172.

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 467/762,480/172?

Given fractions are 467/762,480/172

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 467/762,480/172, numerators are 467,480

Denominators are 762,172

The GCF of 467,480 is 1 .

LCM of 762,172 is 65532.

The greatest common factor of 467/762,480/172 = [GCF of 467,480]/[LCM of 762,172]= 1/65532

Therefore, the GCF of 467/762,480/172 is 1/65532.

Greatest Common Factor of 467,480

To find the highest common factor of 467,480, we have to find the factors of both numbers and list the highest common factor.

The factors of 467 are 1, 467

The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

The HCF of 467,480 is 1.

Lets's calculate GCF of 467,480

Greatest Common Factor (GCF) of 467,480 By Common Division

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

Greatest Common Factor of 467,480 By Matching Biggest Common Factor Method

Now, list down the factors of 467

1,467

Now, list down the factors of 480

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 467,480 . The biggest common factor number is the GCF number.
So the greatest common factor 467,480 is 1.

Lets's calculate LCM of 762,172

Lowest Common Multiple of 762,172 using Common Division

2	762, 172
	381, 86

∴ So the LCM of the given numbers is 2 x 381 x 86 = 65532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65532

Therefore, the GCF of Fractions 467/762,480/172 is 1/65532

Least Common Multiple of 762,172 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 762,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,172) = 2

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

GCF(762,172) x common factors =2 x 1 = 2

LCM(762,172) = ( 762 × 172 ) / 2

LCM(762,172) = 131064 / 2

LCM(762,172) = 65532

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FAQs on GCF of Fractions of 467/762, 480/172

1. What is the HCF of 467,480?

The HCF of 467,480 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 467/762, 480/172?

Answer: GCF of Numerators as per given numbers 467/762, 480/172 is

GCF of Numerators i.e. for 467,480 is 1

LCM of denominators i.e. for 762,172 is 65532.

Thus, GCF of Fractions is 1/65532.Finally, GCF of Fractions for 467/762, 480/172 is 1/65532.