GCF of 8952/149, 7161/1332
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8952/149, 7161/1332 i.e 3/198468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8952/149, 7161/1332.
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 8952/149,7161/1332?
Given fractions are 8952/149,7161/1332
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 8952/149,7161/1332, numerators are 8952,7161
Denominators are 149,1332
The GCF of 8952,7161 is 3 .
LCM of 149,1332 is 198468.
The greatest common factor of 8952/149,7161/1332 = [GCF of 8952,7161]/[LCM of 149,1332]= 3/198468
Therefore, the GCF of 8952/149,7161/1332 is 3/198468.
To find the highest common factor of 8952,7161, we have to find the factors of both numbers and list the highest common factor.
The factors of 8952 are 1, 2, 3, 4, 6, 8, 12, 24, 373, 746, 1119, 1492, 2238, 2984, 4476, 8952
The factors of 7161 are 1, 3, 7, 11, 21, 31, 33, 77, 93, 217, 231, 341, 651, 1023, 2387, 7161
The HCF of 8952,7161 is 3.
Lets's calculate GCF of 8952,7161
| 3 | 8952, 7161 |
| 2984, 2387 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8952,7161 By Matching Biggest Common Factor Method
Now, list down the factors of 8952
:1,2,3,4,6,8,12,24,373,746,1119,1492,2238,2984,4476,8952
Now, list down the factors of 7161
:1,3,7,11,21,31,33,77,93,217,231,341,651,1023,2387,7161
Greatest Common Factor
We found the factors 8952,7161 . The biggest common factor number is the GCF number.
So the greatest common factor 8952,7161 is 3.
Lets's calculate LCM of 149,1332
Given numbers has no common factors except 1. So, there LCM is their product i.e 198468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/198468
Therefore, the GCF of Fractions 8952/149,7161/1332 is 3/198468
Least Common Multiple of 149,1332 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 149,1332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,1332) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,1332) x common factors =1 x 1 = 1
LCM(149,1332) = ( 149 × 1332 ) / 1
LCM(149,1332) = 198468 / 1
LCM(149,1332) = 198468
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FAQs on GCF of Fractions of 8952/149, 7161/1332
1. What is the HCF of 8952,7161?
The HCF of 8952,7161 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 8952/149, 7161/1332?
Answer: GCF of Numerators as per given numbers 8952/149, 7161/1332 is
GCF of Numerators i.e. for 8952,7161 is 3
LCM of denominators i.e. for 149,1332 is 198468.
Thus, GCF of Fractions is 3/198468.Finally, GCF of Fractions for 8952/149, 7161/1332 is 3/198468.