GCF of 9179/616, 7685/5208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9179/616, 7685/5208 i.e 1/57288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9179/616, 7685/5208.
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 9179/616,7685/5208?
Given fractions are 9179/616,7685/5208
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 9179/616,7685/5208, numerators are 9179,7685
Denominators are 616,5208
The GCF of 9179,7685 is 1 .
LCM of 616,5208 is 57288.
The greatest common factor of 9179/616,7685/5208 = [GCF of 9179,7685]/[LCM of 616,5208]= 1/57288
Therefore, the GCF of 9179/616,7685/5208 is 1/57288.
To find the highest common factor of 9179,7685, we have to find the factors of both numbers and list the highest common factor.
The factors of 9179 are 1, 67, 137, 9179
The factors of 7685 are 1, 5, 29, 53, 145, 265, 1537, 7685
The HCF of 9179,7685 is 1.
Lets's calculate GCF of 9179,7685
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9179,7685 By Matching Biggest Common Factor Method
Now, list down the factors of 9179
:1,67,137,9179
Now, list down the factors of 7685
:1,5,29,53,145,265,1537,7685
Greatest Common Factor
We found the factors 9179,7685 . The biggest common factor number is the GCF number.
So the greatest common factor 9179,7685 is 1.
Lets's calculate LCM of 616,5208
| 2 | 616, 5208 |
| 2 | 308, 2604 |
| 2 | 154, 1302 |
| 7 | 77, 651 |
| 11, 93 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 11 x 93 = 57288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57288
Therefore, the GCF of Fractions 9179/616,7685/5208 is 1/57288
Least Common Multiple of 616,5208 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 616,5208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,5208) = 56
common factors(in case of two or more numbers have common factors) = 1
GCF(616,5208) x common factors =56 x 1 = 56
LCM(616,5208) = ( 616 × 5208 ) / 56
LCM(616,5208) = 3208128 / 56
LCM(616,5208) = 57288
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FAQs on GCF of Fractions of 9179/616, 7685/5208
1. What is the HCF of 9179,7685?
The HCF of 9179,7685 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 9179/616, 7685/5208?
Answer: GCF of Numerators as per given numbers 9179/616, 7685/5208 is
GCF of Numerators i.e. for 9179,7685 is 1
LCM of denominators i.e. for 616,5208 is 57288.
Thus, GCF of Fractions is 1/57288.Finally, GCF of Fractions for 9179/616, 7685/5208 is 1/57288.