GCF of 8707/196, 1416/7147
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8707/196, 1416/7147 i.e 1/200116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8707/196, 1416/7147.
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 8707/196,1416/7147?
Given fractions are 8707/196,1416/7147
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 8707/196,1416/7147, numerators are 8707,1416
Denominators are 196,7147
The GCF of 8707,1416 is 1 .
LCM of 196,7147 is 200116.
The greatest common factor of 8707/196,1416/7147 = [GCF of 8707,1416]/[LCM of 196,7147]= 1/200116
Therefore, the GCF of 8707/196,1416/7147 is 1/200116.
To find the highest common factor of 8707,1416, we have to find the factors of both numbers and list the highest common factor.
The factors of 8707 are 1, 8707
The factors of 1416 are 1, 2, 3, 4, 6, 8, 12, 24, 59, 118, 177, 236, 354, 472, 708, 1416
The HCF of 8707,1416 is 1.
Lets's calculate GCF of 8707,1416
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8707,1416 By Matching Biggest Common Factor Method
Now, list down the factors of 8707
:1,8707
Now, list down the factors of 1416
:1,2,3,4,6,8,12,24,59,118,177,236,354,472,708,1416
Greatest Common Factor
We found the factors 8707,1416 . The biggest common factor number is the GCF number.
So the greatest common factor 8707,1416 is 1.
Lets's calculate LCM of 196,7147
| 7 | 196, 7147 |
| 28, 1021 |
∴ So the LCM of the given numbers is 7 x 28 x 1021 = 200116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200116
Therefore, the GCF of Fractions 8707/196,1416/7147 is 1/200116
Least Common Multiple of 196,7147 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 196,7147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,7147) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(196,7147) x common factors =7 x 1 = 7
LCM(196,7147) = ( 196 × 7147 ) / 7
LCM(196,7147) = 1400812 / 7
LCM(196,7147) = 200116
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FAQs on GCF of Fractions of 8707/196, 1416/7147
1. What is the HCF of 8707,1416?
The HCF of 8707,1416 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 8707/196, 1416/7147?
Answer: GCF of Numerators as per given numbers 8707/196, 1416/7147 is
GCF of Numerators i.e. for 8707,1416 is 1
LCM of denominators i.e. for 196,7147 is 200116.
Thus, GCF of Fractions is 1/200116.Finally, GCF of Fractions for 8707/196, 1416/7147 is 1/200116.