How to Find GCF of 8076/611, 8042/9674?

GCF of 8076/611, 8042/9674

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 8076/611, 8042/9674 i.e 2/5910814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8076/611, 8042/9674.

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 8076/611,8042/9674?

Given fractions are 8076/611,8042/9674

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 8076/611,8042/9674, numerators are 8076,8042

Denominators are 611,9674

The GCF of 8076,8042 is 2 .

LCM of 611,9674 is 5910814.

The greatest common factor of 8076/611,8042/9674 = [GCF of 8076,8042]/[LCM of 611,9674]= 2/5910814

Therefore, the GCF of 8076/611,8042/9674 is 2/5910814.

Greatest Common Factor of 8076,8042

To find the highest common factor of 8076,8042, we have to find the factors of both numbers and list the highest common factor.

The factors of 8076 are 1, 2, 3, 4, 6, 12, 673, 1346, 2019, 2692, 4038, 8076

The factors of 8042 are 1, 2, 4021, 8042

The HCF of 8076,8042 is 2.

Lets's calculate GCF of 8076,8042

Greatest Common Factor (GCF) of 8076,8042 By Common Division

2	8076, 8042
	4038, 4021

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

Greatest Common Factor of 8076,8042 By Matching Biggest Common Factor Method

Now, list down the factors of 8076

1,2,3,4,6,12,673,1346,2019,2692,4038,8076

Now, list down the factors of 8042

1,2,4021,8042

Greatest Common Factor

We found the factors 8076,8042 . The biggest common factor number is the GCF number.
So the greatest common factor 8076,8042 is 2.

Lets's calculate LCM of 611,9674

Lowest Common Multiple of 611,9674 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5910814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5910814

Therefore, the GCF of Fractions 8076/611,8042/9674 is 2/5910814

Least Common Multiple of 611,9674 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 611,9674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,9674) = 1

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

GCF(611,9674) x common factors =1 x 1 = 1

LCM(611,9674) = ( 611 × 9674 ) / 1

LCM(611,9674) = 5910814 / 1

LCM(611,9674) = 5910814

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FAQs on GCF of Fractions of 8076/611, 8042/9674

1. What is the HCF of 8076,8042?

The HCF of 8076,8042 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 8076/611, 8042/9674?

Answer: GCF of Numerators as per given numbers 8076/611, 8042/9674 is

GCF of Numerators i.e. for 8076,8042 is 2

LCM of denominators i.e. for 611,9674 is 5910814.

Thus, GCF of Fractions is 2/5910814.Finally, GCF of Fractions for 8076/611, 8042/9674 is 2/5910814.