GCF of 8952/746, 7100/9125
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8952/746, 7100/9125 i.e 4/6807250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8952/746, 7100/9125.
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 8952/746,7100/9125?
Given fractions are 8952/746,7100/9125
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 8952/746,7100/9125, numerators are 8952,7100
Denominators are 746,9125
The GCF of 8952,7100 is 4 .
LCM of 746,9125 is 6807250.
The greatest common factor of 8952/746,7100/9125 = [GCF of 8952,7100]/[LCM of 746,9125]= 4/6807250
Therefore, the GCF of 8952/746,7100/9125 is 4/6807250.
To find the highest common factor of 8952,7100, 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 7100 are 1, 2, 4, 5, 10, 20, 25, 50, 71, 100, 142, 284, 355, 710, 1420, 1775, 3550, 7100
The HCF of 8952,7100 is 4.
Lets's calculate GCF of 8952,7100
| 2 | 8952, 7100 |
| 2 | 4476, 3550 |
| 2238, 1775 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8952,7100 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 7100
:1,2,4,5,10,20,25,50,71,100,142,284,355,710,1420,1775,3550,7100
Greatest Common Factor
We found the factors 8952,7100 . The biggest common factor number is the GCF number.
So the greatest common factor 8952,7100 is 4.
Lets's calculate LCM of 746,9125
Given numbers has no common factors except 1. So, there LCM is their product i.e 6807250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6807250
Therefore, the GCF of Fractions 8952/746,7100/9125 is 4/6807250
Least Common Multiple of 746,9125 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 746,9125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,9125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(746,9125) x common factors =1 x 1 = 1
LCM(746,9125) = ( 746 × 9125 ) / 1
LCM(746,9125) = 6807250 / 1
LCM(746,9125) = 6807250
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FAQs on GCF of Fractions of 8952/746, 7100/9125
1. What is the HCF of 8952,7100?
The HCF of 8952,7100 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 8952/746, 7100/9125?
Answer: GCF of Numerators as per given numbers 8952/746, 7100/9125 is
GCF of Numerators i.e. for 8952,7100 is 4
LCM of denominators i.e. for 746,9125 is 6807250.
Thus, GCF of Fractions is 4/6807250.Finally, GCF of Fractions for 8952/746, 7100/9125 is 4/6807250.