How to Find GCF of 7873/488, 5569/8164?

GCF of 7873/488, 5569/8164

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 7873/488, 5569/8164 i.e 1/996008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7873/488, 5569/8164.

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 7873/488,5569/8164?

Given fractions are 7873/488,5569/8164

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 7873/488,5569/8164, numerators are 7873,5569

Denominators are 488,8164

The GCF of 7873,5569 is 1 .

LCM of 488,8164 is 996008.

The greatest common factor of 7873/488,5569/8164 = [GCF of 7873,5569]/[LCM of 488,8164]= 1/996008

Therefore, the GCF of 7873/488,5569/8164 is 1/996008.

Greatest Common Factor of 7873,5569

To find the highest common factor of 7873,5569, we have to find the factors of both numbers and list the highest common factor.

The factors of 7873 are 1, 7873

The factors of 5569 are 1, 5569

The HCF of 7873,5569 is 1.

Lets's calculate GCF of 7873,5569

Greatest Common Factor (GCF) of 7873,5569 By Common Division

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

Greatest Common Factor of 7873,5569 By Matching Biggest Common Factor Method

Now, list down the factors of 7873

1,7873

Now, list down the factors of 5569

1,5569

Greatest Common Factor

We found the factors 7873,5569 . The biggest common factor number is the GCF number.
So the greatest common factor 7873,5569 is 1.

Lets's calculate LCM of 488,8164

Lowest Common Multiple of 488,8164 using Common Division

2	488, 8164
2	244, 4082
	122, 2041

∴ So the LCM of the given numbers is 2 x 2 x 122 x 2041 = 996008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/996008

Therefore, the GCF of Fractions 7873/488,5569/8164 is 1/996008

Least Common Multiple of 488,8164 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 488,8164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,8164) = 4

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

GCF(488,8164) x common factors =4 x 1 = 4

LCM(488,8164) = ( 488 × 8164 ) / 4

LCM(488,8164) = 3984032 / 4

LCM(488,8164) = 996008

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FAQs on GCF of Fractions of 7873/488, 5569/8164

1. What is the HCF of 7873,5569?

The HCF of 7873,5569 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 7873/488, 5569/8164?

Answer: GCF of Numerators as per given numbers 7873/488, 5569/8164 is

GCF of Numerators i.e. for 7873,5569 is 1

LCM of denominators i.e. for 488,8164 is 996008.

Thus, GCF of Fractions is 1/996008.Finally, GCF of Fractions for 7873/488, 5569/8164 is 1/996008.