GCF of 6392/924, 7875/6017
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6392/924, 7875/6017 i.e 1/505428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6392/924, 7875/6017.
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 6392/924,7875/6017?
Given fractions are 6392/924,7875/6017
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 6392/924,7875/6017, numerators are 6392,7875
Denominators are 924,6017
The GCF of 6392,7875 is 1 .
LCM of 924,6017 is 505428.
The greatest common factor of 6392/924,7875/6017 = [GCF of 6392,7875]/[LCM of 924,6017]= 1/505428
Therefore, the GCF of 6392/924,7875/6017 is 1/505428.
To find the highest common factor of 6392,7875, we have to find the factors of both numbers and list the highest common factor.
The factors of 6392 are 1, 2, 4, 8, 17, 34, 47, 68, 94, 136, 188, 376, 799, 1598, 3196, 6392
The factors of 7875 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 125, 175, 225, 315, 375, 525, 875, 1125, 1575, 2625, 7875
The HCF of 6392,7875 is 1.
Lets's calculate GCF of 6392,7875
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6392,7875 By Matching Biggest Common Factor Method
Now, list down the factors of 6392
:1,2,4,8,17,34,47,68,94,136,188,376,799,1598,3196,6392
Now, list down the factors of 7875
:1,3,5,7,9,15,21,25,35,45,63,75,105,125,175,225,315,375,525,875,1125,1575,2625,7875
Greatest Common Factor
We found the factors 6392,7875 . The biggest common factor number is the GCF number.
So the greatest common factor 6392,7875 is 1.
Lets's calculate LCM of 924,6017
| 11 | 924, 6017 |
| 84, 547 |
∴ So the LCM of the given numbers is 11 x 84 x 547 = 505428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/505428
Therefore, the GCF of Fractions 6392/924,7875/6017 is 1/505428
Least Common Multiple of 924,6017 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 924,6017 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,6017) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(924,6017) x common factors =11 x 1 = 11
LCM(924,6017) = ( 924 × 6017 ) / 11
LCM(924,6017) = 5559708 / 11
LCM(924,6017) = 505428
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FAQs on GCF of Fractions of 6392/924, 7875/6017
1. What is the HCF of 6392,7875?
The HCF of 6392,7875 is 1
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 6392/924, 7875/6017?
Answer: GCF of Numerators as per given numbers 6392/924, 7875/6017 is
GCF of Numerators i.e. for 6392,7875 is 1
LCM of denominators i.e. for 924,6017 is 505428.
Thus, GCF of Fractions is 1/505428.Finally, GCF of Fractions for 6392/924, 7875/6017 is 1/505428.