GCF of 9095/616, 5979/1969
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9095/616, 5979/1969 i.e 1/110264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9095/616, 5979/1969.
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 9095/616,5979/1969?
Given fractions are 9095/616,5979/1969
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 9095/616,5979/1969, numerators are 9095,5979
Denominators are 616,1969
The GCF of 9095,5979 is 1 .
LCM of 616,1969 is 110264.
The greatest common factor of 9095/616,5979/1969 = [GCF of 9095,5979]/[LCM of 616,1969]= 1/110264
Therefore, the GCF of 9095/616,5979/1969 is 1/110264.
To find the highest common factor of 9095,5979, we have to find the factors of both numbers and list the highest common factor.
The factors of 9095 are 1, 5, 17, 85, 107, 535, 1819, 9095
The factors of 5979 are 1, 3, 1993, 5979
The HCF of 9095,5979 is 1.
Lets's calculate GCF of 9095,5979
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9095,5979 By Matching Biggest Common Factor Method
Now, list down the factors of 9095
:1,5,17,85,107,535,1819,9095
Now, list down the factors of 5979
:1,3,1993,5979
Greatest Common Factor
We found the factors 9095,5979 . The biggest common factor number is the GCF number.
So the greatest common factor 9095,5979 is 1.
Lets's calculate LCM of 616,1969
| 11 | 616, 1969 |
| 56, 179 |
∴ So the LCM of the given numbers is 11 x 56 x 179 = 110264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110264
Therefore, the GCF of Fractions 9095/616,5979/1969 is 1/110264
Least Common Multiple of 616,1969 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 616,1969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,1969) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(616,1969) x common factors =11 x 1 = 11
LCM(616,1969) = ( 616 × 1969 ) / 11
LCM(616,1969) = 1212904 / 11
LCM(616,1969) = 110264
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FAQs on GCF of Fractions of 9095/616, 5979/1969
1. What is the HCF of 9095,5979?
The HCF of 9095,5979 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 9095/616, 5979/1969?
Answer: GCF of Numerators as per given numbers 9095/616, 5979/1969 is
GCF of Numerators i.e. for 9095,5979 is 1
LCM of denominators i.e. for 616,1969 is 110264.
Thus, GCF of Fractions is 1/110264.Finally, GCF of Fractions for 9095/616, 5979/1969 is 1/110264.