How to Find GCF of 7574/418, 8053/8615?

GCF of 7574/418, 8053/8615

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 7574/418, 8053/8615 i.e 1/3601070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7574/418, 8053/8615.

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 7574/418,8053/8615?

Given fractions are 7574/418,8053/8615

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 7574/418,8053/8615, numerators are 7574,8053

Denominators are 418,8615

The GCF of 7574,8053 is 1 .

LCM of 418,8615 is 3601070.

The greatest common factor of 7574/418,8053/8615 = [GCF of 7574,8053]/[LCM of 418,8615]= 1/3601070

Therefore, the GCF of 7574/418,8053/8615 is 1/3601070.

Greatest Common Factor of 7574,8053

To find the highest common factor of 7574,8053, we have to find the factors of both numbers and list the highest common factor.

The factors of 7574 are 1, 2, 7, 14, 541, 1082, 3787, 7574

The factors of 8053 are 1, 8053

The HCF of 7574,8053 is 1.

Lets's calculate GCF of 7574,8053

Greatest Common Factor (GCF) of 7574,8053 By Common Division

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

Greatest Common Factor of 7574,8053 By Matching Biggest Common Factor Method

Now, list down the factors of 7574

1,2,7,14,541,1082,3787,7574

Now, list down the factors of 8053

1,8053

Greatest Common Factor

We found the factors 7574,8053 . The biggest common factor number is the GCF number.
So the greatest common factor 7574,8053 is 1.

Lets's calculate LCM of 418,8615

Lowest Common Multiple of 418,8615 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3601070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3601070

Therefore, the GCF of Fractions 7574/418,8053/8615 is 1/3601070

Least Common Multiple of 418,8615 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 418,8615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,8615) = 1

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

GCF(418,8615) x common factors =1 x 1 = 1

LCM(418,8615) = ( 418 × 8615 ) / 1

LCM(418,8615) = 3601070 / 1

LCM(418,8615) = 3601070

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FAQs on GCF of Fractions of 7574/418, 8053/8615

1. What is the HCF of 7574,8053?

The HCF of 7574,8053 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 7574/418, 8053/8615?

Answer: GCF of Numerators as per given numbers 7574/418, 8053/8615 is

GCF of Numerators i.e. for 7574,8053 is 1

LCM of denominators i.e. for 418,8615 is 3601070.

Thus, GCF of Fractions is 1/3601070.Finally, GCF of Fractions for 7574/418, 8053/8615 is 1/3601070.