GCF of 1561/132, 8932/8724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1561/132, 8932/8724 i.e 7/95964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1561/132, 8932/8724.
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 1561/132,8932/8724?
Given fractions are 1561/132,8932/8724
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 1561/132,8932/8724, numerators are 1561,8932
Denominators are 132,8724
The GCF of 1561,8932 is 7 .
LCM of 132,8724 is 95964.
The greatest common factor of 1561/132,8932/8724 = [GCF of 1561,8932]/[LCM of 132,8724]= 7/95964
Therefore, the GCF of 1561/132,8932/8724 is 7/95964.
To find the highest common factor of 1561,8932, we have to find the factors of both numbers and list the highest common factor.
The factors of 1561 are 1, 7, 223, 1561
The factors of 8932 are 1, 2, 4, 7, 11, 14, 22, 28, 29, 44, 58, 77, 116, 154, 203, 308, 319, 406, 638, 812, 1276, 2233, 4466, 8932
The HCF of 1561,8932 is 7.
Lets's calculate GCF of 1561,8932
| 7 | 1561, 8932 |
| 223, 1276 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1561,8932 By Matching Biggest Common Factor Method
Now, list down the factors of 1561
:1,7,223,1561
Now, list down the factors of 8932
:1,2,4,7,11,14,22,28,29,44,58,77,116,154,203,308,319,406,638,812,1276,2233,4466,8932
Greatest Common Factor
We found the factors 1561,8932 . The biggest common factor number is the GCF number.
So the greatest common factor 1561,8932 is 7.
Lets's calculate LCM of 132,8724
| 2 | 132, 8724 |
| 2 | 66, 4362 |
| 3 | 33, 2181 |
| 11, 727 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 727 = 95964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/95964
Therefore, the GCF of Fractions 1561/132,8932/8724 is 7/95964
Least Common Multiple of 132,8724 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 132,8724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,8724) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(132,8724) x common factors =12 x 1 = 12
LCM(132,8724) = ( 132 × 8724 ) / 12
LCM(132,8724) = 1151568 / 12
LCM(132,8724) = 95964
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FAQs on GCF of Fractions of 1561/132, 8932/8724
1. What is the HCF of 1561,8932?
The HCF of 1561,8932 is 7
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 1561/132, 8932/8724?
Answer: GCF of Numerators as per given numbers 1561/132, 8932/8724 is
GCF of Numerators i.e. for 1561,8932 is 7
LCM of denominators i.e. for 132,8724 is 95964.
Thus, GCF of Fractions is 7/95964.Finally, GCF of Fractions for 1561/132, 8932/8724 is 7/95964.