How to Find GCF of 475/596, 784/785?

GCF of 475/596, 784/785

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 475/596, 784/785 i.e 1/467860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 475/596, 784/785.

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 475/596,784/785?

Given fractions are 475/596,784/785

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 475/596,784/785, numerators are 475,784

Denominators are 596,785

The GCF of 475,784 is 1 .

LCM of 596,785 is 467860.

The greatest common factor of 475/596,784/785 = [GCF of 475,784]/[LCM of 596,785]= 1/467860

Therefore, the GCF of 475/596,784/785 is 1/467860.

Greatest Common Factor of 475,784

To find the highest common factor of 475,784, we have to find the factors of both numbers and list the highest common factor.

The factors of 475 are 1, 5, 19, 25, 95, 475

The factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

The HCF of 475,784 is 1.

Lets's calculate GCF of 475,784

Greatest Common Factor (GCF) of 475,784 By Common Division

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

Greatest Common Factor of 475,784 By Matching Biggest Common Factor Method

Now, list down the factors of 475

1,5,19,25,95,475

Now, list down the factors of 784

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 475,784 . The biggest common factor number is the GCF number.
So the greatest common factor 475,784 is 1.

Lets's calculate LCM of 596,785

Lowest Common Multiple of 596,785 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 467860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/467860

Therefore, the GCF of Fractions 475/596,784/785 is 1/467860

Least Common Multiple of 596,785 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 596,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,785) = 1

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

GCF(596,785) x common factors =1 x 1 = 1

LCM(596,785) = ( 596 × 785 ) / 1

LCM(596,785) = 467860 / 1

LCM(596,785) = 467860

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FAQs on GCF of Fractions of 475/596, 784/785

1. What is the HCF of 475,784?

The HCF of 475,784 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 475/596, 784/785?

Answer: GCF of Numerators as per given numbers 475/596, 784/785 is

GCF of Numerators i.e. for 475,784 is 1

LCM of denominators i.e. for 596,785 is 467860.

Thus, GCF of Fractions is 1/467860.Finally, GCF of Fractions for 475/596, 784/785 is 1/467860.