GCF of 8517/756, 7272/350
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8517/756, 7272/350 i.e 3/18900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8517/756, 7272/350.
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 8517/756,7272/350?
Given fractions are 8517/756,7272/350
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 8517/756,7272/350, numerators are 8517,7272
Denominators are 756,350
The GCF of 8517,7272 is 3 .
LCM of 756,350 is 18900.
The greatest common factor of 8517/756,7272/350 = [GCF of 8517,7272]/[LCM of 756,350]= 3/18900
Therefore, the GCF of 8517/756,7272/350 is 3/18900.
To find the highest common factor of 8517,7272, we have to find the factors of both numbers and list the highest common factor.
The factors of 8517 are 1, 3, 17, 51, 167, 501, 2839, 8517
The factors of 7272 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 101, 202, 303, 404, 606, 808, 909, 1212, 1818, 2424, 3636, 7272
The HCF of 8517,7272 is 3.
Lets's calculate GCF of 8517,7272
| 3 | 8517, 7272 |
| 2839, 2424 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8517,7272 By Matching Biggest Common Factor Method
Now, list down the factors of 8517
:1,3,17,51,167,501,2839,8517
Now, list down the factors of 7272
:1,2,3,4,6,8,9,12,18,24,36,72,101,202,303,404,606,808,909,1212,1818,2424,3636,7272
Greatest Common Factor
We found the factors 8517,7272 . The biggest common factor number is the GCF number.
So the greatest common factor 8517,7272 is 3.
Lets's calculate LCM of 756,350
| 2 | 756, 350 |
| 7 | 378, 175 |
| 54, 25 |
∴ So the LCM of the given numbers is 2 x 7 x 54 x 25 = 18900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18900
Therefore, the GCF of Fractions 8517/756,7272/350 is 3/18900
Least Common Multiple of 756,350 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 756,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,350) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(756,350) x common factors =14 x 1 = 14
LCM(756,350) = ( 756 × 350 ) / 14
LCM(756,350) = 264600 / 14
LCM(756,350) = 18900
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FAQs on GCF of Fractions of 8517/756, 7272/350
1. What is the HCF of 8517,7272?
The HCF of 8517,7272 is 3
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 8517/756, 7272/350?
Answer: GCF of Numerators as per given numbers 8517/756, 7272/350 is
GCF of Numerators i.e. for 8517,7272 is 3
LCM of denominators i.e. for 756,350 is 18900.
Thus, GCF of Fractions is 3/18900.Finally, GCF of Fractions for 8517/756, 7272/350 is 3/18900.