GCF of 7889/664, 1300/4962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7889/664, 1300/4962 i.e 1/1647384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7889/664, 1300/4962.
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 7889/664,1300/4962?
Given fractions are 7889/664,1300/4962
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 7889/664,1300/4962, numerators are 7889,1300
Denominators are 664,4962
The GCF of 7889,1300 is 1 .
LCM of 664,4962 is 1647384.
The greatest common factor of 7889/664,1300/4962 = [GCF of 7889,1300]/[LCM of 664,4962]= 1/1647384
Therefore, the GCF of 7889/664,1300/4962 is 1/1647384.
To find the highest common factor of 7889,1300, we have to find the factors of both numbers and list the highest common factor.
The factors of 7889 are 1, 7, 23, 49, 161, 343, 1127, 7889
The factors of 1300 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650, 1300
The HCF of 7889,1300 is 1.
Lets's calculate GCF of 7889,1300
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7889,1300 By Matching Biggest Common Factor Method
Now, list down the factors of 7889
:1,7,23,49,161,343,1127,7889
Now, list down the factors of 1300
:1,2,4,5,10,13,20,25,26,50,52,65,100,130,260,325,650,1300
Greatest Common Factor
We found the factors 7889,1300 . The biggest common factor number is the GCF number.
So the greatest common factor 7889,1300 is 1.
Lets's calculate LCM of 664,4962
| 2 | 664, 4962 |
| 332, 2481 |
∴ So the LCM of the given numbers is 2 x 332 x 2481 = 1647384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1647384
Therefore, the GCF of Fractions 7889/664,1300/4962 is 1/1647384
Least Common Multiple of 664,4962 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 664,4962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,4962) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(664,4962) x common factors =2 x 1 = 2
LCM(664,4962) = ( 664 × 4962 ) / 2
LCM(664,4962) = 3294768 / 2
LCM(664,4962) = 1647384
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FAQs on GCF of Fractions of 7889/664, 1300/4962
1. What is the HCF of 7889,1300?
The HCF of 7889,1300 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 7889/664, 1300/4962?
Answer: GCF of Numerators as per given numbers 7889/664, 1300/4962 is
GCF of Numerators i.e. for 7889,1300 is 1
LCM of denominators i.e. for 664,4962 is 1647384.
Thus, GCF of Fractions is 1/1647384.Finally, GCF of Fractions for 7889/664, 1300/4962 is 1/1647384.