GCF of 9625/660, 6475/4167
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9625/660, 6475/4167 i.e 175/916740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9625/660, 6475/4167.
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 9625/660,6475/4167?
Given fractions are 9625/660,6475/4167
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 9625/660,6475/4167, numerators are 9625,6475
Denominators are 660,4167
The GCF of 9625,6475 is 175 .
LCM of 660,4167 is 916740.
The greatest common factor of 9625/660,6475/4167 = [GCF of 9625,6475]/[LCM of 660,4167]= 175/916740
Therefore, the GCF of 9625/660,6475/4167 is 175/916740.
To find the highest common factor of 9625,6475, 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 6475 are 1, 5, 7, 25, 35, 37, 175, 185, 259, 925, 1295, 6475
The HCF of 9625,6475 is 175.
Lets's calculate GCF of 9625,6475
| 5 | 9625, 6475 |
| 5 | 1925, 1295 |
| 7 | 385, 259 |
| 55, 37 |
∴ So the GCF of the given numbers is 5 x 5 x 7 = 175
Greatest Common Factor of 9625,6475 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 6475
:1,5,7,25,35,37,175,185,259,925,1295,6475
Greatest Common Factor
We found the factors 9625,6475 . The biggest common factor number is the GCF number.
So the greatest common factor 9625,6475 is 175.
Lets's calculate LCM of 660,4167
| 3 | 660, 4167 |
| 220, 1389 |
∴ So the LCM of the given numbers is 3 x 220 x 1389 = 916740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 175/916740
Therefore, the GCF of Fractions 9625/660,6475/4167 is 175/916740
Least Common Multiple of 660,4167 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 660,4167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,4167) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(660,4167) x common factors =3 x 1 = 3
LCM(660,4167) = ( 660 × 4167 ) / 3
LCM(660,4167) = 2750220 / 3
LCM(660,4167) = 916740
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FAQs on GCF of Fractions of 9625/660, 6475/4167
1. What is the HCF of 9625,6475?
The HCF of 9625,6475 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 9625/660, 6475/4167?
Answer: GCF of Numerators as per given numbers 9625/660, 6475/4167 is
GCF of Numerators i.e. for 9625,6475 is 175
LCM of denominators i.e. for 660,4167 is 916740.
Thus, GCF of Fractions is 175/916740.Finally, GCF of Fractions for 9625/660, 6475/4167 is 175/916740.