GCF of 5112/156, 9261/645
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5112/156, 9261/645 i.e 9/33540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5112/156, 9261/645.
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 5112/156,9261/645?
Given fractions are 5112/156,9261/645
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 5112/156,9261/645, numerators are 5112,9261
Denominators are 156,645
The GCF of 5112,9261 is 9 .
LCM of 156,645 is 33540.
The greatest common factor of 5112/156,9261/645 = [GCF of 5112,9261]/[LCM of 156,645]= 9/33540
Therefore, the GCF of 5112/156,9261/645 is 9/33540.
To find the highest common factor of 5112,9261, we have to find the factors of both numbers and list the highest common factor.
The factors of 5112 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 71, 72, 142, 213, 284, 426, 568, 639, 852, 1278, 1704, 2556, 5112
The factors of 9261 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 3087, 9261
The HCF of 5112,9261 is 9.
Lets's calculate GCF of 5112,9261
| 3 | 5112, 9261 |
| 3 | 1704, 3087 |
| 568, 1029 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 5112,9261 By Matching Biggest Common Factor Method
Now, list down the factors of 5112
:1,2,3,4,6,8,9,12,18,24,36,71,72,142,213,284,426,568,639,852,1278,1704,2556,5112
Now, list down the factors of 9261
:1,3,7,9,21,27,49,63,147,189,343,441,1029,1323,3087,9261
Greatest Common Factor
We found the factors 5112,9261 . The biggest common factor number is the GCF number.
So the greatest common factor 5112,9261 is 9.
Lets's calculate LCM of 156,645
| 3 | 156, 645 |
| 52, 215 |
∴ So the LCM of the given numbers is 3 x 52 x 215 = 33540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/33540
Therefore, the GCF of Fractions 5112/156,9261/645 is 9/33540
Least Common Multiple of 156,645 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 156,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,645) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(156,645) x common factors =3 x 1 = 3
LCM(156,645) = ( 156 × 645 ) / 3
LCM(156,645) = 100620 / 3
LCM(156,645) = 33540
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FAQs on GCF of Fractions of 5112/156, 9261/645
1. What is the HCF of 5112,9261?
The HCF of 5112,9261 is 9
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 5112/156, 9261/645?
Answer: GCF of Numerators as per given numbers 5112/156, 9261/645 is
GCF of Numerators i.e. for 5112,9261 is 9
LCM of denominators i.e. for 156,645 is 33540.
Thus, GCF of Fractions is 9/33540.Finally, GCF of Fractions for 5112/156, 9261/645 is 9/33540.