GCF of 902/616, 517/708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 902/616, 517/708 i.e 11/109032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 902/616, 517/708.
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 902/616,517/708?
Given fractions are 902/616,517/708
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 902/616,517/708, numerators are 902,517
Denominators are 616,708
The GCF of 902,517 is 11 .
LCM of 616,708 is 109032.
The greatest common factor of 902/616,517/708 = [GCF of 902,517]/[LCM of 616,708]= 11/109032
Therefore, the GCF of 902/616,517/708 is 11/109032.
To find the highest common factor of 902,517, we have to find the factors of both numbers and list the highest common factor.
The factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902
The factors of 517 are 1, 11, 47, 517
The HCF of 902,517 is 11.
Lets's calculate GCF of 902,517
| 11 | 902, 517 |
| 82, 47 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 902,517 By Matching Biggest Common Factor Method
Now, list down the factors of 902
:1,2,11,22,41,82,451,902
Now, list down the factors of 517
:1,11,47,517
Greatest Common Factor
We found the factors 902,517 . The biggest common factor number is the GCF number.
So the greatest common factor 902,517 is 11.
Lets's calculate LCM of 616,708
| 2 | 616, 708 |
| 2 | 308, 354 |
| 154, 177 |
∴ So the LCM of the given numbers is 2 x 2 x 154 x 177 = 109032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/109032
Therefore, the GCF of Fractions 902/616,517/708 is 11/109032
Least Common Multiple of 616,708 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 616,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,708) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(616,708) x common factors =4 x 1 = 4
LCM(616,708) = ( 616 × 708 ) / 4
LCM(616,708) = 436128 / 4
LCM(616,708) = 109032
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FAQs on GCF of Fractions of 902/616, 517/708
1. What is the HCF of 902,517?
The HCF of 902,517 is 11
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 902/616, 517/708?
Answer: GCF of Numerators as per given numbers 902/616, 517/708 is
GCF of Numerators i.e. for 902,517 is 11
LCM of denominators i.e. for 616,708 is 109032.
Thus, GCF of Fractions is 11/109032.Finally, GCF of Fractions for 902/616, 517/708 is 11/109032.