GCF of 968/758, 6755/319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 968/758, 6755/319 i.e 1/241802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 968/758, 6755/319.
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 968/758,6755/319?
Given fractions are 968/758,6755/319
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 968/758,6755/319, numerators are 968,6755
Denominators are 758,319
The GCF of 968,6755 is 1 .
LCM of 758,319 is 241802.
The greatest common factor of 968/758,6755/319 = [GCF of 968,6755]/[LCM of 758,319]= 1/241802
Therefore, the GCF of 968/758,6755/319 is 1/241802.
To find the highest common factor of 968,6755, we have to find the factors of both numbers and list the highest common factor.
The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
The factors of 6755 are 1, 5, 7, 35, 193, 965, 1351, 6755
The HCF of 968,6755 is 1.
Lets's calculate GCF of 968,6755
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 968,6755 By Matching Biggest Common Factor Method
Now, list down the factors of 968
:1,2,4,8,11,22,44,88,121,242,484,968
Now, list down the factors of 6755
:1,5,7,35,193,965,1351,6755
Greatest Common Factor
We found the factors 968,6755 . The biggest common factor number is the GCF number.
So the greatest common factor 968,6755 is 1.
Lets's calculate LCM of 758,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 241802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/241802
Therefore, the GCF of Fractions 968/758,6755/319 is 1/241802
Least Common Multiple of 758,319 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 758,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(758,319) x common factors =1 x 1 = 1
LCM(758,319) = ( 758 × 319 ) / 1
LCM(758,319) = 241802 / 1
LCM(758,319) = 241802
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 968/758, 6755/319
1. What is the HCF of 968,6755?
The HCF of 968,6755 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 968/758, 6755/319?
Answer: GCF of Numerators as per given numbers 968/758, 6755/319 is
GCF of Numerators i.e. for 968,6755 is 1
LCM of denominators i.e. for 758,319 is 241802.
Thus, GCF of Fractions is 1/241802.Finally, GCF of Fractions for 968/758, 6755/319 is 1/241802.