GCF of 9662/712, 2118/1008
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9662/712, 2118/1008 i.e 2/89712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9662/712, 2118/1008.
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 9662/712,2118/1008?
Given fractions are 9662/712,2118/1008
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 9662/712,2118/1008, numerators are 9662,2118
Denominators are 712,1008
The GCF of 9662,2118 is 2 .
LCM of 712,1008 is 89712.
The greatest common factor of 9662/712,2118/1008 = [GCF of 9662,2118]/[LCM of 712,1008]= 2/89712
Therefore, the GCF of 9662/712,2118/1008 is 2/89712.
To find the highest common factor of 9662,2118, we have to find the factors of both numbers and list the highest common factor.
The factors of 9662 are 1, 2, 4831, 9662
The factors of 2118 are 1, 2, 3, 6, 353, 706, 1059, 2118
The HCF of 9662,2118 is 2.
Lets's calculate GCF of 9662,2118
| 2 | 9662, 2118 |
| 4831, 1059 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9662,2118 By Matching Biggest Common Factor Method
Now, list down the factors of 9662
:1,2,4831,9662
Now, list down the factors of 2118
:1,2,3,6,353,706,1059,2118
Greatest Common Factor
We found the factors 9662,2118 . The biggest common factor number is the GCF number.
So the greatest common factor 9662,2118 is 2.
Lets's calculate LCM of 712,1008
| 2 | 712, 1008 |
| 2 | 356, 504 |
| 2 | 178, 252 |
| 89, 126 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 89 x 126 = 89712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/89712
Therefore, the GCF of Fractions 9662/712,2118/1008 is 2/89712
Least Common Multiple of 712,1008 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 712,1008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,1008) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(712,1008) x common factors =8 x 1 = 8
LCM(712,1008) = ( 712 × 1008 ) / 8
LCM(712,1008) = 717696 / 8
LCM(712,1008) = 89712
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FAQs on GCF of Fractions of 9662/712, 2118/1008
1. What is the HCF of 9662,2118?
The HCF of 9662,2118 is 2
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 9662/712, 2118/1008?
Answer: GCF of Numerators as per given numbers 9662/712, 2118/1008 is
GCF of Numerators i.e. for 9662,2118 is 2
LCM of denominators i.e. for 712,1008 is 89712.
Thus, GCF of Fractions is 2/89712.Finally, GCF of Fractions for 9662/712, 2118/1008 is 2/89712.