GCF of 7991/865, 5675/6458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7991/865, 5675/6458 i.e 1/5586170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7991/865, 5675/6458.
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 7991/865,5675/6458?
Given fractions are 7991/865,5675/6458
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 7991/865,5675/6458, numerators are 7991,5675
Denominators are 865,6458
The GCF of 7991,5675 is 1 .
LCM of 865,6458 is 5586170.
The greatest common factor of 7991/865,5675/6458 = [GCF of 7991,5675]/[LCM of 865,6458]= 1/5586170
Therefore, the GCF of 7991/865,5675/6458 is 1/5586170.
To find the highest common factor of 7991,5675, we have to find the factors of both numbers and list the highest common factor.
The factors of 7991 are 1, 61, 131, 7991
The factors of 5675 are 1, 5, 25, 227, 1135, 5675
The HCF of 7991,5675 is 1.
Lets's calculate GCF of 7991,5675
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7991,5675 By Matching Biggest Common Factor Method
Now, list down the factors of 7991
:1,61,131,7991
Now, list down the factors of 5675
:1,5,25,227,1135,5675
Greatest Common Factor
We found the factors 7991,5675 . The biggest common factor number is the GCF number.
So the greatest common factor 7991,5675 is 1.
Lets's calculate LCM of 865,6458
Given numbers has no common factors except 1. So, there LCM is their product i.e 5586170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5586170
Therefore, the GCF of Fractions 7991/865,5675/6458 is 1/5586170
Least Common Multiple of 865,6458 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 865,6458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,6458) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,6458) x common factors =1 x 1 = 1
LCM(865,6458) = ( 865 × 6458 ) / 1
LCM(865,6458) = 5586170 / 1
LCM(865,6458) = 5586170
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FAQs on GCF of Fractions of 7991/865, 5675/6458
1. What is the HCF of 7991,5675?
The HCF of 7991,5675 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 7991/865, 5675/6458?
Answer: GCF of Numerators as per given numbers 7991/865, 5675/6458 is
GCF of Numerators i.e. for 7991,5675 is 1
LCM of denominators i.e. for 865,6458 is 5586170.
Thus, GCF of Fractions is 1/5586170.Finally, GCF of Fractions for 7991/865, 5675/6458 is 1/5586170.