GCF of 8760/187, 7315/3500
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8760/187, 7315/3500 i.e 5/654500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8760/187, 7315/3500.
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 8760/187,7315/3500?
Given fractions are 8760/187,7315/3500
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 8760/187,7315/3500, numerators are 8760,7315
Denominators are 187,3500
The GCF of 8760,7315 is 5 .
LCM of 187,3500 is 654500.
The greatest common factor of 8760/187,7315/3500 = [GCF of 8760,7315]/[LCM of 187,3500]= 5/654500
Therefore, the GCF of 8760/187,7315/3500 is 5/654500.
To find the highest common factor of 8760,7315, we have to find the factors of both numbers and list the highest common factor.
The factors of 8760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 73, 120, 146, 219, 292, 365, 438, 584, 730, 876, 1095, 1460, 1752, 2190, 2920, 4380, 8760
The factors of 7315 are 1, 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, 1463, 7315
The HCF of 8760,7315 is 5.
Lets's calculate GCF of 8760,7315
| 5 | 8760, 7315 |
| 1752, 1463 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8760,7315 By Matching Biggest Common Factor Method
Now, list down the factors of 8760
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,73,120,146,219,292,365,438,584,730,876,1095,1460,1752,2190,2920,4380,8760
Now, list down the factors of 7315
:1,5,7,11,19,35,55,77,95,133,209,385,665,1045,1463,7315
Greatest Common Factor
We found the factors 8760,7315 . The biggest common factor number is the GCF number.
So the greatest common factor 8760,7315 is 5.
Lets's calculate LCM of 187,3500
Given numbers has no common factors except 1. So, there LCM is their product i.e 654500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/654500
Therefore, the GCF of Fractions 8760/187,7315/3500 is 5/654500
Least Common Multiple of 187,3500 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 187,3500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,3500) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,3500) x common factors =1 x 1 = 1
LCM(187,3500) = ( 187 × 3500 ) / 1
LCM(187,3500) = 654500 / 1
LCM(187,3500) = 654500
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FAQs on GCF of Fractions of 8760/187, 7315/3500
1. What is the HCF of 8760,7315?
The HCF of 8760,7315 is 5
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 8760/187, 7315/3500?
Answer: GCF of Numerators as per given numbers 8760/187, 7315/3500 is
GCF of Numerators i.e. for 8760,7315 is 5
LCM of denominators i.e. for 187,3500 is 654500.
Thus, GCF of Fractions is 5/654500.Finally, GCF of Fractions for 8760/187, 7315/3500 is 5/654500.