GCF of 6365/975, 8978/6238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6365/975, 8978/6238 i.e 67/6082050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6365/975, 8978/6238.
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 6365/975,8978/6238?
Given fractions are 6365/975,8978/6238
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 6365/975,8978/6238, numerators are 6365,8978
Denominators are 975,6238
The GCF of 6365,8978 is 67 .
LCM of 975,6238 is 6082050.
The greatest common factor of 6365/975,8978/6238 = [GCF of 6365,8978]/[LCM of 975,6238]= 67/6082050
Therefore, the GCF of 6365/975,8978/6238 is 67/6082050.
To find the highest common factor of 6365,8978, we have to find the factors of both numbers and list the highest common factor.
The factors of 6365 are 1, 5, 19, 67, 95, 335, 1273, 6365
The factors of 8978 are 1, 2, 67, 134, 4489, 8978
The HCF of 6365,8978 is 67.
Lets's calculate GCF of 6365,8978
| 67 | 6365, 8978 |
| 95, 134 |
∴ So the GCF of the given numbers is 67 = 67
Greatest Common Factor of 6365,8978 By Matching Biggest Common Factor Method
Now, list down the factors of 6365
:1,5,19,67,95,335,1273,6365
Now, list down the factors of 8978
:1,2,67,134,4489,8978
Greatest Common Factor
We found the factors 6365,8978 . The biggest common factor number is the GCF number.
So the greatest common factor 6365,8978 is 67.
Lets's calculate LCM of 975,6238
Given numbers has no common factors except 1. So, there LCM is their product i.e 6082050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/6082050
Therefore, the GCF of Fractions 6365/975,8978/6238 is 67/6082050
Least Common Multiple of 975,6238 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 975,6238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,6238) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(975,6238) x common factors =1 x 1 = 1
LCM(975,6238) = ( 975 × 6238 ) / 1
LCM(975,6238) = 6082050 / 1
LCM(975,6238) = 6082050
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FAQs on GCF of Fractions of 6365/975, 8978/6238
1. What is the HCF of 6365,8978?
The HCF of 6365,8978 is 67
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 6365/975, 8978/6238?
Answer: GCF of Numerators as per given numbers 6365/975, 8978/6238 is
GCF of Numerators i.e. for 6365,8978 is 67
LCM of denominators i.e. for 975,6238 is 6082050.
Thus, GCF of Fractions is 67/6082050.Finally, GCF of Fractions for 6365/975, 8978/6238 is 67/6082050.