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GCF of 604/77, 802/820

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 604/77, 802/820 i.e 2/63140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 604/77, 802/820.

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 604/77,802/820?

Given fractions are 604/77,802/820

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 604/77,802/820, numerators are 604,802

Denominators are 77,820

The GCF of 604,802 is 2 .

LCM of 77,820 is 63140.

The greatest common factor of 604/77,802/820 = [GCF of 604,802]/[LCM of 77,820]= 2/63140

Therefore, the GCF of 604/77,802/820 is 2/63140.

Greatest Common Factor of 604,802

To find the highest common factor of 604,802, we have to find the factors of both numbers and list the highest common factor.

The factors of 604 are 1, 2, 4, 151, 302, 604

The factors of 802 are 1, 2, 401, 802

The HCF of 604,802 is 2.

Lets's calculate GCF of 604,802

Greatest Common Factor (GCF) of 604,802 By Common Division

2 604, 802
302, 401

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

Greatest Common Factor of 604,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 604,802 By Matching Biggest Common Factor Method

Now, list down the factors of 604

:

1,2,4,151,302,604

Now, list down the factors of 802

:

1,2,401,802

Greatest Common Factor

We found the factors 604,802 . The biggest common factor number is the GCF number.
So the greatest common factor 604,802 is 2.

Lets's calculate LCM of 77,820

Lowest Common Multiple of 77,820 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 63140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/63140

Therefore, the GCF of Fractions 604/77,802/820 is 2/63140

Least Common Multiple of 77,820 with GCF Formula

Least Common Multiple of 77,820 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 77,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,820) = 1

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

GCF(77,820) x common factors =1 x 1 = 1

LCM(77,820) = ( 77 × 820 ) / 1

LCM(77,820) = 63140 / 1

LCM(77,820) = 63140


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FAQs on GCF of Fractions of 604/77, 802/820

1. What is the HCF of 604,802?

The HCF of 604,802 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 604/77, 802/820?

Answer: GCF of Numerators as per given numbers 604/77, 802/820 is

GCF of Numerators i.e. for 604,802 is 2

LCM of denominators i.e. for 77,820 is 63140.

Thus, GCF of Fractions is 2/63140.Finally, GCF of Fractions for 604/77, 802/820 is 2/63140.