GCF of 9415/80, 7120/780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9415/80, 7120/780 i.e 5/3120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9415/80, 7120/780.
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 9415/80,7120/780?
Given fractions are 9415/80,7120/780
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 9415/80,7120/780, numerators are 9415,7120
Denominators are 80,780
The GCF of 9415,7120 is 5 .
LCM of 80,780 is 3120.
The greatest common factor of 9415/80,7120/780 = [GCF of 9415,7120]/[LCM of 80,780]= 5/3120
Therefore, the GCF of 9415/80,7120/780 is 5/3120.
To find the highest common factor of 9415,7120, we have to find the factors of both numbers and list the highest common factor.
The factors of 9415 are 1, 5, 7, 35, 269, 1345, 1883, 9415
The factors of 7120 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560, 7120
The HCF of 9415,7120 is 5.
Lets's calculate GCF of 9415,7120
| 5 | 9415, 7120 |
| 1883, 1424 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9415,7120 By Matching Biggest Common Factor Method
Now, list down the factors of 9415
:1,5,7,35,269,1345,1883,9415
Now, list down the factors of 7120
:1,2,4,5,8,10,16,20,40,80,89,178,356,445,712,890,1424,1780,3560,7120
Greatest Common Factor
We found the factors 9415,7120 . The biggest common factor number is the GCF number.
So the greatest common factor 9415,7120 is 5.
Lets's calculate LCM of 80,780
| 2 | 80, 780 |
| 2 | 40, 390 |
| 5 | 20, 195 |
| 4, 39 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 4 x 39 = 3120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3120
Therefore, the GCF of Fractions 9415/80,7120/780 is 5/3120
Least Common Multiple of 80,780 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 80,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,780) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(80,780) x common factors =20 x 1 = 20
LCM(80,780) = ( 80 × 780 ) / 20
LCM(80,780) = 62400 / 20
LCM(80,780) = 3120
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FAQs on GCF of Fractions of 9415/80, 7120/780
1. What is the HCF of 9415,7120?
The HCF of 9415,7120 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 9415/80, 7120/780?
Answer: GCF of Numerators as per given numbers 9415/80, 7120/780 is
GCF of Numerators i.e. for 9415,7120 is 5
LCM of denominators i.e. for 80,780 is 3120.
Thus, GCF of Fractions is 5/3120.Finally, GCF of Fractions for 9415/80, 7120/780 is 5/3120.