GCF of 9496/120, 9400/7130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9496/120, 9400/7130 i.e 8/85560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9496/120, 9400/7130.
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 9496/120,9400/7130?
Given fractions are 9496/120,9400/7130
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 9496/120,9400/7130, numerators are 9496,9400
Denominators are 120,7130
The GCF of 9496,9400 is 8 .
LCM of 120,7130 is 85560.
The greatest common factor of 9496/120,9400/7130 = [GCF of 9496,9400]/[LCM of 120,7130]= 8/85560
Therefore, the GCF of 9496/120,9400/7130 is 8/85560.
To find the highest common factor of 9496,9400, we have to find the factors of both numbers and list the highest common factor.
The factors of 9496 are 1, 2, 4, 8, 1187, 2374, 4748, 9496
The factors of 9400 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 188, 200, 235, 376, 470, 940, 1175, 1880, 2350, 4700, 9400
The HCF of 9496,9400 is 8.
Lets's calculate GCF of 9496,9400
| 2 | 9496, 9400 |
| 2 | 4748, 4700 |
| 2 | 2374, 2350 |
| 1187, 1175 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 9496,9400 By Matching Biggest Common Factor Method
Now, list down the factors of 9496
:1,2,4,8,1187,2374,4748,9496
Now, list down the factors of 9400
:1,2,4,5,8,10,20,25,40,47,50,94,100,188,200,235,376,470,940,1175,1880,2350,4700,9400
Greatest Common Factor
We found the factors 9496,9400 . The biggest common factor number is the GCF number.
So the greatest common factor 9496,9400 is 8.
Lets's calculate LCM of 120,7130
| 2 | 120, 7130 |
| 5 | 60, 3565 |
| 12, 713 |
∴ So the LCM of the given numbers is 2 x 5 x 12 x 713 = 85560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/85560
Therefore, the GCF of Fractions 9496/120,9400/7130 is 8/85560
Least Common Multiple of 120,7130 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 120,7130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,7130) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(120,7130) x common factors =10 x 1 = 10
LCM(120,7130) = ( 120 × 7130 ) / 10
LCM(120,7130) = 855600 / 10
LCM(120,7130) = 85560
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FAQs on GCF of Fractions of 9496/120, 9400/7130
1. What is the HCF of 9496,9400?
The HCF of 9496,9400 is 8
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 9496/120, 9400/7130?
Answer: GCF of Numerators as per given numbers 9496/120, 9400/7130 is
GCF of Numerators i.e. for 9496,9400 is 8
LCM of denominators i.e. for 120,7130 is 85560.
Thus, GCF of Fractions is 8/85560.Finally, GCF of Fractions for 9496/120, 9400/7130 is 8/85560.