GCF of 8629/662, 6713/648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8629/662, 6713/648 i.e 1/214488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8629/662, 6713/648.
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 8629/662,6713/648?
Given fractions are 8629/662,6713/648
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 8629/662,6713/648, numerators are 8629,6713
Denominators are 662,648
The GCF of 8629,6713 is 1 .
LCM of 662,648 is 214488.
The greatest common factor of 8629/662,6713/648 = [GCF of 8629,6713]/[LCM of 662,648]= 1/214488
Therefore, the GCF of 8629/662,6713/648 is 1/214488.
To find the highest common factor of 8629,6713, we have to find the factors of both numbers and list the highest common factor.
The factors of 8629 are 1, 8629
The factors of 6713 are 1, 7, 49, 137, 959, 6713
The HCF of 8629,6713 is 1.
Lets's calculate GCF of 8629,6713
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8629,6713 By Matching Biggest Common Factor Method
Now, list down the factors of 8629
:1,8629
Now, list down the factors of 6713
:1,7,49,137,959,6713
Greatest Common Factor
We found the factors 8629,6713 . The biggest common factor number is the GCF number.
So the greatest common factor 8629,6713 is 1.
Lets's calculate LCM of 662,648
| 2 | 662, 648 |
| 331, 324 |
∴ So the LCM of the given numbers is 2 x 331 x 324 = 214488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214488
Therefore, the GCF of Fractions 8629/662,6713/648 is 1/214488
Least Common Multiple of 662,648 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 662,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,648) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(662,648) x common factors =2 x 1 = 2
LCM(662,648) = ( 662 × 648 ) / 2
LCM(662,648) = 428976 / 2
LCM(662,648) = 214488
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FAQs on GCF of Fractions of 8629/662, 6713/648
1. What is the HCF of 8629,6713?
The HCF of 8629,6713 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 8629/662, 6713/648?
Answer: GCF of Numerators as per given numbers 8629/662, 6713/648 is
GCF of Numerators i.e. for 8629,6713 is 1
LCM of denominators i.e. for 662,648 is 214488.
Thus, GCF of Fractions is 1/214488.Finally, GCF of Fractions for 8629/662, 6713/648 is 1/214488.