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GCF of 590/702, 8078/653

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 590/702, 8078/653 i.e 2/458406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 590/702, 8078/653.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 590/702,8078/653?

Given fractions are 590/702,8078/653

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 590/702,8078/653, numerators are 590,8078

Denominators are 702,653

The GCF of 590,8078 is 2 .

LCM of 702,653 is 458406.

The greatest common factor of 590/702,8078/653 = [GCF of 590,8078]/[LCM of 702,653]= 2/458406

Therefore, the GCF of 590/702,8078/653 is 2/458406.

Greatest Common Factor of 590,8078

To find the highest common factor of 590,8078, we have to find the factors of both numbers and list the highest common factor.

The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590

The factors of 8078 are 1, 2, 7, 14, 577, 1154, 4039, 8078

The HCF of 590,8078 is 2.

Lets's calculate GCF of 590,8078

Greatest Common Factor (GCF) of 590,8078 By Common Division

2 590, 8078
295, 4039

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

Greatest Common Factor of 590,8078 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,8078 By Matching Biggest Common Factor Method

Now, list down the factors of 590

:

1,2,5,10,59,118,295,590

Now, list down the factors of 8078

:

1,2,7,14,577,1154,4039,8078

Greatest Common Factor

We found the factors 590,8078 . The biggest common factor number is the GCF number.
So the greatest common factor 590,8078 is 2.

Lets's calculate LCM of 702,653

Lowest Common Multiple of 702,653 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 458406

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/458406

Therefore, the GCF of Fractions 590/702,8078/653 is 2/458406

Least Common Multiple of 702,653 with GCF Formula

Least Common Multiple of 702,653 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 702,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,653) = 1

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

GCF(702,653) x common factors =1 x 1 = 1

LCM(702,653) = ( 702 × 653 ) / 1

LCM(702,653) = 458406 / 1

LCM(702,653) = 458406


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FAQs on GCF of Fractions of 590/702, 8078/653

1. What is the HCF of 590,8078?

The HCF of 590,8078 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 590/702, 8078/653?

Answer: GCF of Numerators as per given numbers 590/702, 8078/653 is

GCF of Numerators i.e. for 590,8078 is 2

LCM of denominators i.e. for 702,653 is 458406.

Thus, GCF of Fractions is 2/458406.Finally, GCF of Fractions for 590/702, 8078/653 is 2/458406.