GCF of 7875/772, 8535/8851
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7875/772, 8535/8851 i.e 15/6832972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7875/772, 8535/8851.
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 7875/772,8535/8851?
Given fractions are 7875/772,8535/8851
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 7875/772,8535/8851, numerators are 7875,8535
Denominators are 772,8851
The GCF of 7875,8535 is 15 .
LCM of 772,8851 is 6832972.
The greatest common factor of 7875/772,8535/8851 = [GCF of 7875,8535]/[LCM of 772,8851]= 15/6832972
Therefore, the GCF of 7875/772,8535/8851 is 15/6832972.
To find the highest common factor of 7875,8535, we have to find the factors of both numbers and list the highest common factor.
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 factors of 8535 are 1, 3, 5, 15, 569, 1707, 2845, 8535
The HCF of 7875,8535 is 15.
Lets's calculate GCF of 7875,8535
| 3 | 7875, 8535 |
| 5 | 2625, 2845 |
| 525, 569 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 7875,8535 By Matching Biggest Common Factor Method
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
Now, list down the factors of 8535
:1,3,5,15,569,1707,2845,8535
Greatest Common Factor
We found the factors 7875,8535 . The biggest common factor number is the GCF number.
So the greatest common factor 7875,8535 is 15.
Lets's calculate LCM of 772,8851
Given numbers has no common factors except 1. So, there LCM is their product i.e 6832972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/6832972
Therefore, the GCF of Fractions 7875/772,8535/8851 is 15/6832972
Least Common Multiple of 772,8851 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 772,8851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,8851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(772,8851) x common factors =1 x 1 = 1
LCM(772,8851) = ( 772 × 8851 ) / 1
LCM(772,8851) = 6832972 / 1
LCM(772,8851) = 6832972
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FAQs on GCF of Fractions of 7875/772, 8535/8851
1. What is the HCF of 7875,8535?
The HCF of 7875,8535 is 15
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 7875/772, 8535/8851?
Answer: GCF of Numerators as per given numbers 7875/772, 8535/8851 is
GCF of Numerators i.e. for 7875,8535 is 15
LCM of denominators i.e. for 772,8851 is 6832972.
Thus, GCF of Fractions is 15/6832972.Finally, GCF of Fractions for 7875/772, 8535/8851 is 15/6832972.