GCF of 6357/40, 9165/785
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6357/40, 9165/785 i.e 39/6280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6357/40, 9165/785.
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 6357/40,9165/785?
Given fractions are 6357/40,9165/785
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 6357/40,9165/785, numerators are 6357,9165
Denominators are 40,785
The GCF of 6357,9165 is 39 .
LCM of 40,785 is 6280.
The greatest common factor of 6357/40,9165/785 = [GCF of 6357,9165]/[LCM of 40,785]= 39/6280
Therefore, the GCF of 6357/40,9165/785 is 39/6280.
To find the highest common factor of 6357,9165, we have to find the factors of both numbers and list the highest common factor.
The factors of 6357 are 1, 3, 13, 39, 163, 489, 2119, 6357
The factors of 9165 are 1, 3, 5, 13, 15, 39, 47, 65, 141, 195, 235, 611, 705, 1833, 3055, 9165
The HCF of 6357,9165 is 39.
Lets's calculate GCF of 6357,9165
| 3 | 6357, 9165 |
| 13 | 2119, 3055 |
| 163, 235 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 6357,9165 By Matching Biggest Common Factor Method
Now, list down the factors of 6357
:1,3,13,39,163,489,2119,6357
Now, list down the factors of 9165
:1,3,5,13,15,39,47,65,141,195,235,611,705,1833,3055,9165
Greatest Common Factor
We found the factors 6357,9165 . The biggest common factor number is the GCF number.
So the greatest common factor 6357,9165 is 39.
Lets's calculate LCM of 40,785
| 5 | 40, 785 |
| 8, 157 |
∴ So the LCM of the given numbers is 5 x 8 x 157 = 6280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/6280
Therefore, the GCF of Fractions 6357/40,9165/785 is 39/6280
Least Common Multiple of 40,785 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 40,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,785) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(40,785) x common factors =5 x 1 = 5
LCM(40,785) = ( 40 × 785 ) / 5
LCM(40,785) = 31400 / 5
LCM(40,785) = 6280
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FAQs on GCF of Fractions of 6357/40, 9165/785
1. What is the HCF of 6357,9165?
The HCF of 6357,9165 is 39
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 6357/40, 9165/785?
Answer: GCF of Numerators as per given numbers 6357/40, 9165/785 is
GCF of Numerators i.e. for 6357,9165 is 39
LCM of denominators i.e. for 40,785 is 6280.
Thus, GCF of Fractions is 39/6280.Finally, GCF of Fractions for 6357/40, 9165/785 is 39/6280.