GCF of 3095/100, 7966/8865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3095/100, 7966/8865 i.e 1/177300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3095/100, 7966/8865.
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 3095/100,7966/8865?
Given fractions are 3095/100,7966/8865
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 3095/100,7966/8865, numerators are 3095,7966
Denominators are 100,8865
The GCF of 3095,7966 is 1 .
LCM of 100,8865 is 177300.
The greatest common factor of 3095/100,7966/8865 = [GCF of 3095,7966]/[LCM of 100,8865]= 1/177300
Therefore, the GCF of 3095/100,7966/8865 is 1/177300.
To find the highest common factor of 3095,7966, we have to find the factors of both numbers and list the highest common factor.
The factors of 3095 are 1, 5, 619, 3095
The factors of 7966 are 1, 2, 7, 14, 569, 1138, 3983, 7966
The HCF of 3095,7966 is 1.
Lets's calculate GCF of 3095,7966
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3095,7966 By Matching Biggest Common Factor Method
Now, list down the factors of 3095
:1,5,619,3095
Now, list down the factors of 7966
:1,2,7,14,569,1138,3983,7966
Greatest Common Factor
We found the factors 3095,7966 . The biggest common factor number is the GCF number.
So the greatest common factor 3095,7966 is 1.
Lets's calculate LCM of 100,8865
| 5 | 100, 8865 |
| 20, 1773 |
∴ So the LCM of the given numbers is 5 x 20 x 1773 = 177300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177300
Therefore, the GCF of Fractions 3095/100,7966/8865 is 1/177300
Least Common Multiple of 100,8865 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 100,8865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,8865) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(100,8865) x common factors =5 x 1 = 5
LCM(100,8865) = ( 100 × 8865 ) / 5
LCM(100,8865) = 886500 / 5
LCM(100,8865) = 177300
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FAQs on GCF of Fractions of 3095/100, 7966/8865
1. What is the HCF of 3095,7966?
The HCF of 3095,7966 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 3095/100, 7966/8865?
Answer: GCF of Numerators as per given numbers 3095/100, 7966/8865 is
GCF of Numerators i.e. for 3095,7966 is 1
LCM of denominators i.e. for 100,8865 is 177300.
Thus, GCF of Fractions is 1/177300.Finally, GCF of Fractions for 3095/100, 7966/8865 is 1/177300.