GCF of 6488/856, 7979/1121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6488/856, 7979/1121 i.e 1/959576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6488/856, 7979/1121.
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 6488/856,7979/1121?
Given fractions are 6488/856,7979/1121
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 6488/856,7979/1121, numerators are 6488,7979
Denominators are 856,1121
The GCF of 6488,7979 is 1 .
LCM of 856,1121 is 959576.
The greatest common factor of 6488/856,7979/1121 = [GCF of 6488,7979]/[LCM of 856,1121]= 1/959576
Therefore, the GCF of 6488/856,7979/1121 is 1/959576.
To find the highest common factor of 6488,7979, we have to find the factors of both numbers and list the highest common factor.
The factors of 6488 are 1, 2, 4, 8, 811, 1622, 3244, 6488
The factors of 7979 are 1, 79, 101, 7979
The HCF of 6488,7979 is 1.
Lets's calculate GCF of 6488,7979
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6488,7979 By Matching Biggest Common Factor Method
Now, list down the factors of 6488
:1,2,4,8,811,1622,3244,6488
Now, list down the factors of 7979
:1,79,101,7979
Greatest Common Factor
We found the factors 6488,7979 . The biggest common factor number is the GCF number.
So the greatest common factor 6488,7979 is 1.
Lets's calculate LCM of 856,1121
Given numbers has no common factors except 1. So, there LCM is their product i.e 959576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/959576
Therefore, the GCF of Fractions 6488/856,7979/1121 is 1/959576
Least Common Multiple of 856,1121 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 856,1121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,1121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(856,1121) x common factors =1 x 1 = 1
LCM(856,1121) = ( 856 × 1121 ) / 1
LCM(856,1121) = 959576 / 1
LCM(856,1121) = 959576
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6488/856, 7979/1121
1. What is the HCF of 6488,7979?
The HCF of 6488,7979 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 6488/856, 7979/1121?
Answer: GCF of Numerators as per given numbers 6488/856, 7979/1121 is
GCF of Numerators i.e. for 6488,7979 is 1
LCM of denominators i.e. for 856,1121 is 959576.
Thus, GCF of Fractions is 1/959576.Finally, GCF of Fractions for 6488/856, 7979/1121 is 1/959576.