GCF of 8750/695, 2760/9296
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8750/695, 2760/9296 i.e 10/6460720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8750/695, 2760/9296.
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 8750/695,2760/9296?
Given fractions are 8750/695,2760/9296
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 8750/695,2760/9296, numerators are 8750,2760
Denominators are 695,9296
The GCF of 8750,2760 is 10 .
LCM of 695,9296 is 6460720.
The greatest common factor of 8750/695,2760/9296 = [GCF of 8750,2760]/[LCM of 695,9296]= 10/6460720
Therefore, the GCF of 8750/695,2760/9296 is 10/6460720.
To find the highest common factor of 8750,2760, we have to find the factors of both numbers and list the highest common factor.
The factors of 8750 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 625, 875, 1250, 1750, 4375, 8750
The factors of 2760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380, 2760
The HCF of 8750,2760 is 10.
Lets's calculate GCF of 8750,2760
| 2 | 8750, 2760 |
| 5 | 4375, 1380 |
| 875, 276 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8750,2760 By Matching Biggest Common Factor Method
Now, list down the factors of 8750
:1,2,5,7,10,14,25,35,50,70,125,175,250,350,625,875,1250,1750,4375,8750
Now, list down the factors of 2760
:1,2,3,4,5,6,8,10,12,15,20,23,24,30,40,46,60,69,92,115,120,138,184,230,276,345,460,552,690,920,1380,2760
Greatest Common Factor
We found the factors 8750,2760 . The biggest common factor number is the GCF number.
So the greatest common factor 8750,2760 is 10.
Lets's calculate LCM of 695,9296
Given numbers has no common factors except 1. So, there LCM is their product i.e 6460720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/6460720
Therefore, the GCF of Fractions 8750/695,2760/9296 is 10/6460720
Least Common Multiple of 695,9296 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 695,9296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,9296) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(695,9296) x common factors =1 x 1 = 1
LCM(695,9296) = ( 695 × 9296 ) / 1
LCM(695,9296) = 6460720 / 1
LCM(695,9296) = 6460720
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FAQs on GCF of Fractions of 8750/695, 2760/9296
1. What is the HCF of 8750,2760?
The HCF of 8750,2760 is 10
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 8750/695, 2760/9296?
Answer: GCF of Numerators as per given numbers 8750/695, 2760/9296 is
GCF of Numerators i.e. for 8750,2760 is 10
LCM of denominators i.e. for 695,9296 is 6460720.
Thus, GCF of Fractions is 10/6460720.Finally, GCF of Fractions for 8750/695, 2760/9296 is 10/6460720.