GCF of 7085/965, 7316/1600
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7085/965, 7316/1600 i.e 1/308800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7085/965, 7316/1600.
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 7085/965,7316/1600?
Given fractions are 7085/965,7316/1600
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 7085/965,7316/1600, numerators are 7085,7316
Denominators are 965,1600
The GCF of 7085,7316 is 1 .
LCM of 965,1600 is 308800.
The greatest common factor of 7085/965,7316/1600 = [GCF of 7085,7316]/[LCM of 965,1600]= 1/308800
Therefore, the GCF of 7085/965,7316/1600 is 1/308800.
To find the highest common factor of 7085,7316, we have to find the factors of both numbers and list the highest common factor.
The factors of 7085 are 1, 5, 13, 65, 109, 545, 1417, 7085
The factors of 7316 are 1, 2, 4, 31, 59, 62, 118, 124, 236, 1829, 3658, 7316
The HCF of 7085,7316 is 1.
Lets's calculate GCF of 7085,7316
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7085,7316 By Matching Biggest Common Factor Method
Now, list down the factors of 7085
:1,5,13,65,109,545,1417,7085
Now, list down the factors of 7316
:1,2,4,31,59,62,118,124,236,1829,3658,7316
Greatest Common Factor
We found the factors 7085,7316 . The biggest common factor number is the GCF number.
So the greatest common factor 7085,7316 is 1.
Lets's calculate LCM of 965,1600
| 5 | 965, 1600 |
| 193, 320 |
∴ So the LCM of the given numbers is 5 x 193 x 320 = 308800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/308800
Therefore, the GCF of Fractions 7085/965,7316/1600 is 1/308800
Least Common Multiple of 965,1600 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 965,1600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,1600) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(965,1600) x common factors =5 x 1 = 5
LCM(965,1600) = ( 965 × 1600 ) / 5
LCM(965,1600) = 1544000 / 5
LCM(965,1600) = 308800
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FAQs on GCF of Fractions of 7085/965, 7316/1600
1. What is the HCF of 7085,7316?
The HCF of 7085,7316 is 1
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 7085/965, 7316/1600?
Answer: GCF of Numerators as per given numbers 7085/965, 7316/1600 is
GCF of Numerators i.e. for 7085,7316 is 1
LCM of denominators i.e. for 965,1600 is 308800.
Thus, GCF of Fractions is 1/308800.Finally, GCF of Fractions for 7085/965, 7316/1600 is 1/308800.