GCF of 5891/968, 5007/627
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5891/968, 5007/627 i.e 1/55176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5891/968, 5007/627.
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 5891/968,5007/627?
Given fractions are 5891/968,5007/627
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 5891/968,5007/627, numerators are 5891,5007
Denominators are 968,627
The GCF of 5891,5007 is 1 .
LCM of 968,627 is 55176.
The greatest common factor of 5891/968,5007/627 = [GCF of 5891,5007]/[LCM of 968,627]= 1/55176
Therefore, the GCF of 5891/968,5007/627 is 1/55176.
To find the highest common factor of 5891,5007, we have to find the factors of both numbers and list the highest common factor.
The factors of 5891 are 1, 43, 137, 5891
The factors of 5007 are 1, 3, 1669, 5007
The HCF of 5891,5007 is 1.
Lets's calculate GCF of 5891,5007
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5891,5007 By Matching Biggest Common Factor Method
Now, list down the factors of 5891
:1,43,137,5891
Now, list down the factors of 5007
:1,3,1669,5007
Greatest Common Factor
We found the factors 5891,5007 . The biggest common factor number is the GCF number.
So the greatest common factor 5891,5007 is 1.
Lets's calculate LCM of 968,627
| 11 | 968, 627 |
| 88, 57 |
∴ So the LCM of the given numbers is 11 x 88 x 57 = 55176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55176
Therefore, the GCF of Fractions 5891/968,5007/627 is 1/55176
Least Common Multiple of 968,627 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 968,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,627) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(968,627) x common factors =11 x 1 = 11
LCM(968,627) = ( 968 × 627 ) / 11
LCM(968,627) = 606936 / 11
LCM(968,627) = 55176
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FAQs on GCF of Fractions of 5891/968, 5007/627
1. What is the HCF of 5891,5007?
The HCF of 5891,5007 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 5891/968, 5007/627?
Answer: GCF of Numerators as per given numbers 5891/968, 5007/627 is
GCF of Numerators i.e. for 5891,5007 is 1
LCM of denominators i.e. for 968,627 is 55176.
Thus, GCF of Fractions is 1/55176.Finally, GCF of Fractions for 5891/968, 5007/627 is 1/55176.