GCF of 7439/975, 8696/4107
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7439/975, 8696/4107 i.e 1/1334775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7439/975, 8696/4107.
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 7439/975,8696/4107?
Given fractions are 7439/975,8696/4107
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 7439/975,8696/4107, numerators are 7439,8696
Denominators are 975,4107
The GCF of 7439,8696 is 1 .
LCM of 975,4107 is 1334775.
The greatest common factor of 7439/975,8696/4107 = [GCF of 7439,8696]/[LCM of 975,4107]= 1/1334775
Therefore, the GCF of 7439/975,8696/4107 is 1/1334775.
To find the highest common factor of 7439,8696, we have to find the factors of both numbers and list the highest common factor.
The factors of 7439 are 1, 43, 173, 7439
The factors of 8696 are 1, 2, 4, 8, 1087, 2174, 4348, 8696
The HCF of 7439,8696 is 1.
Lets's calculate GCF of 7439,8696
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7439,8696 By Matching Biggest Common Factor Method
Now, list down the factors of 7439
:1,43,173,7439
Now, list down the factors of 8696
:1,2,4,8,1087,2174,4348,8696
Greatest Common Factor
We found the factors 7439,8696 . The biggest common factor number is the GCF number.
So the greatest common factor 7439,8696 is 1.
Lets's calculate LCM of 975,4107
| 3 | 975, 4107 |
| 325, 1369 |
∴ So the LCM of the given numbers is 3 x 325 x 1369 = 1334775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1334775
Therefore, the GCF of Fractions 7439/975,8696/4107 is 1/1334775
Least Common Multiple of 975,4107 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 975,4107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,4107) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(975,4107) x common factors =3 x 1 = 3
LCM(975,4107) = ( 975 × 4107 ) / 3
LCM(975,4107) = 4004325 / 3
LCM(975,4107) = 1334775
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FAQs on GCF of Fractions of 7439/975, 8696/4107
1. What is the HCF of 7439,8696?
The HCF of 7439,8696 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 7439/975, 8696/4107?
Answer: GCF of Numerators as per given numbers 7439/975, 8696/4107 is
GCF of Numerators i.e. for 7439,8696 is 1
LCM of denominators i.e. for 975,4107 is 1334775.
Thus, GCF of Fractions is 1/1334775.Finally, GCF of Fractions for 7439/975, 8696/4107 is 1/1334775.