GCF of 1172/415, 8652/7165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1172/415, 8652/7165 i.e 4/594695 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1172/415, 8652/7165.
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 1172/415,8652/7165?
Given fractions are 1172/415,8652/7165
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 1172/415,8652/7165, numerators are 1172,8652
Denominators are 415,7165
The GCF of 1172,8652 is 4 .
LCM of 415,7165 is 594695.
The greatest common factor of 1172/415,8652/7165 = [GCF of 1172,8652]/[LCM of 415,7165]= 4/594695
Therefore, the GCF of 1172/415,8652/7165 is 4/594695.
To find the highest common factor of 1172,8652, we have to find the factors of both numbers and list the highest common factor.
The factors of 1172 are 1, 2, 4, 293, 586, 1172
The factors of 8652 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 103, 206, 309, 412, 618, 721, 1236, 1442, 2163, 2884, 4326, 8652
The HCF of 1172,8652 is 4.
Lets's calculate GCF of 1172,8652
| 2 | 1172, 8652 |
| 2 | 586, 4326 |
| 293, 2163 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1172,8652 By Matching Biggest Common Factor Method
Now, list down the factors of 1172
:1,2,4,293,586,1172
Now, list down the factors of 8652
:1,2,3,4,6,7,12,14,21,28,42,84,103,206,309,412,618,721,1236,1442,2163,2884,4326,8652
Greatest Common Factor
We found the factors 1172,8652 . The biggest common factor number is the GCF number.
So the greatest common factor 1172,8652 is 4.
Lets's calculate LCM of 415,7165
| 5 | 415, 7165 |
| 83, 1433 |
∴ So the LCM of the given numbers is 5 x 83 x 1433 = 594695
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/594695
Therefore, the GCF of Fractions 1172/415,8652/7165 is 4/594695
Least Common Multiple of 415,7165 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 415,7165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,7165) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(415,7165) x common factors =5 x 1 = 5
LCM(415,7165) = ( 415 × 7165 ) / 5
LCM(415,7165) = 2973475 / 5
LCM(415,7165) = 594695
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FAQs on GCF of Fractions of 1172/415, 8652/7165
1. What is the HCF of 1172,8652?
The HCF of 1172,8652 is 4
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 1172/415, 8652/7165?
Answer: GCF of Numerators as per given numbers 1172/415, 8652/7165 is
GCF of Numerators i.e. for 1172,8652 is 4
LCM of denominators i.e. for 415,7165 is 594695.
Thus, GCF of Fractions is 4/594695.Finally, GCF of Fractions for 1172/415, 8652/7165 is 4/594695.