GCF of 9625/986, 9100/8152
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9625/986, 9100/8152 i.e 175/4018936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9625/986, 9100/8152.
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 9625/986,9100/8152?
Given fractions are 9625/986,9100/8152
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 9625/986,9100/8152, numerators are 9625,9100
Denominators are 986,8152
The GCF of 9625,9100 is 175 .
LCM of 986,8152 is 4018936.
The greatest common factor of 9625/986,9100/8152 = [GCF of 9625,9100]/[LCM of 986,8152]= 175/4018936
Therefore, the GCF of 9625/986,9100/8152 is 175/4018936.
To find the highest common factor of 9625,9100, we have to find the factors of both numbers and list the highest common factor.
The factors of 9625 are 1, 5, 7, 11, 25, 35, 55, 77, 125, 175, 275, 385, 875, 1375, 1925, 9625
The factors of 9100 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 50, 52, 65, 70, 91, 100, 130, 140, 175, 182, 260, 325, 350, 364, 455, 650, 700, 910, 1300, 1820, 2275, 4550, 9100
The HCF of 9625,9100 is 175.
Lets's calculate GCF of 9625,9100
| 5 | 9625, 9100 |
| 5 | 1925, 1820 |
| 7 | 385, 364 |
| 55, 52 |
∴ So the GCF of the given numbers is 5 x 5 x 7 = 175
Greatest Common Factor of 9625,9100 By Matching Biggest Common Factor Method
Now, list down the factors of 9625
:1,5,7,11,25,35,55,77,125,175,275,385,875,1375,1925,9625
Now, list down the factors of 9100
:1,2,4,5,7,10,13,14,20,25,26,28,35,50,52,65,70,91,100,130,140,175,182,260,325,350,364,455,650,700,910,1300,1820,2275,4550,9100
Greatest Common Factor
We found the factors 9625,9100 . The biggest common factor number is the GCF number.
So the greatest common factor 9625,9100 is 175.
Lets's calculate LCM of 986,8152
| 2 | 986, 8152 |
| 493, 4076 |
∴ So the LCM of the given numbers is 2 x 493 x 4076 = 4018936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 175/4018936
Therefore, the GCF of Fractions 9625/986,9100/8152 is 175/4018936
Least Common Multiple of 986,8152 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 986,8152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,8152) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(986,8152) x common factors =2 x 1 = 2
LCM(986,8152) = ( 986 × 8152 ) / 2
LCM(986,8152) = 8037872 / 2
LCM(986,8152) = 4018936
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9625/986, 9100/8152
1. What is the HCF of 9625,9100?
The HCF of 9625,9100 is 175
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 9625/986, 9100/8152?
Answer: GCF of Numerators as per given numbers 9625/986, 9100/8152 is
GCF of Numerators i.e. for 9625,9100 is 175
LCM of denominators i.e. for 986,8152 is 4018936.
Thus, GCF of Fractions is 175/4018936.Finally, GCF of Fractions for 9625/986, 9100/8152 is 175/4018936.