GCF of 7905/995, 9112/7104
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7905/995, 9112/7104 i.e 17/7068480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7905/995, 9112/7104.
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 7905/995,9112/7104?
Given fractions are 7905/995,9112/7104
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 7905/995,9112/7104, numerators are 7905,9112
Denominators are 995,7104
The GCF of 7905,9112 is 17 .
LCM of 995,7104 is 7068480.
The greatest common factor of 7905/995,9112/7104 = [GCF of 7905,9112]/[LCM of 995,7104]= 17/7068480
Therefore, the GCF of 7905/995,9112/7104 is 17/7068480.
To find the highest common factor of 7905,9112, we have to find the factors of both numbers and list the highest common factor.
The factors of 7905 are 1, 3, 5, 15, 17, 31, 51, 85, 93, 155, 255, 465, 527, 1581, 2635, 7905
The factors of 9112 are 1, 2, 4, 8, 17, 34, 67, 68, 134, 136, 268, 536, 1139, 2278, 4556, 9112
The HCF of 7905,9112 is 17.
Lets's calculate GCF of 7905,9112
| 17 | 7905, 9112 |
| 465, 536 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 7905,9112 By Matching Biggest Common Factor Method
Now, list down the factors of 7905
:1,3,5,15,17,31,51,85,93,155,255,465,527,1581,2635,7905
Now, list down the factors of 9112
:1,2,4,8,17,34,67,68,134,136,268,536,1139,2278,4556,9112
Greatest Common Factor
We found the factors 7905,9112 . The biggest common factor number is the GCF number.
So the greatest common factor 7905,9112 is 17.
Lets's calculate LCM of 995,7104
Given numbers has no common factors except 1. So, there LCM is their product i.e 7068480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/7068480
Therefore, the GCF of Fractions 7905/995,9112/7104 is 17/7068480
Least Common Multiple of 995,7104 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 995,7104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,7104) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(995,7104) x common factors =1 x 1 = 1
LCM(995,7104) = ( 995 × 7104 ) / 1
LCM(995,7104) = 7068480 / 1
LCM(995,7104) = 7068480
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FAQs on GCF of Fractions of 7905/995, 9112/7104
1. What is the HCF of 7905,9112?
The HCF of 7905,9112 is 17
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 7905/995, 9112/7104?
Answer: GCF of Numerators as per given numbers 7905/995, 9112/7104 is
GCF of Numerators i.e. for 7905,9112 is 17
LCM of denominators i.e. for 995,7104 is 7068480.
Thus, GCF of Fractions is 17/7068480.Finally, GCF of Fractions for 7905/995, 9112/7104 is 17/7068480.