How to Find GCF of 907/784, 480/142?

GCF of 907/784, 480/142

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 907/784, 480/142 i.e 1/55664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 907/784, 480/142.

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 907/784,480/142?

Given fractions are 907/784,480/142

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 907/784,480/142, numerators are 907,480

Denominators are 784,142

The GCF of 907,480 is 1 .

LCM of 784,142 is 55664.

The greatest common factor of 907/784,480/142 = [GCF of 907,480]/[LCM of 784,142]= 1/55664

Therefore, the GCF of 907/784,480/142 is 1/55664.

Greatest Common Factor of 907,480

To find the highest common factor of 907,480, we have to find the factors of both numbers and list the highest common factor.

The factors of 907 are 1, 907

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 907,480 is 1.

Lets's calculate GCF of 907,480

Greatest Common Factor (GCF) of 907,480 By Common Division

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

Greatest Common Factor of 907,480 By Matching Biggest Common Factor Method

Now, list down the factors of 907

1,907

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 907,480 . The biggest common factor number is the GCF number.
So the greatest common factor 907,480 is 1.

Lets's calculate LCM of 784,142

Lowest Common Multiple of 784,142 using Common Division

2	784, 142
	392, 71

∴ So the LCM of the given numbers is 2 x 392 x 71 = 55664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55664

Therefore, the GCF of Fractions 907/784,480/142 is 1/55664

Least Common Multiple of 784,142 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 784,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,142) = 2

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

GCF(784,142) x common factors =2 x 1 = 2

LCM(784,142) = ( 784 × 142 ) / 2

LCM(784,142) = 111328 / 2

LCM(784,142) = 55664

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FAQs on GCF of Fractions of 907/784, 480/142

1. What is the HCF of 907,480?

The HCF of 907,480 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 907/784, 480/142?

Answer: GCF of Numerators as per given numbers 907/784, 480/142 is

GCF of Numerators i.e. for 907,480 is 1

LCM of denominators i.e. for 784,142 is 55664.

Thus, GCF of Fractions is 1/55664.Finally, GCF of Fractions for 907/784, 480/142 is 1/55664.