GCF of 4334/970, 9771/6962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4334/970, 9771/6962 i.e 1/3376570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4334/970, 9771/6962.
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 4334/970,9771/6962?
Given fractions are 4334/970,9771/6962
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 4334/970,9771/6962, numerators are 4334,9771
Denominators are 970,6962
The GCF of 4334,9771 is 1 .
LCM of 970,6962 is 3376570.
The greatest common factor of 4334/970,9771/6962 = [GCF of 4334,9771]/[LCM of 970,6962]= 1/3376570
Therefore, the GCF of 4334/970,9771/6962 is 1/3376570.
To find the highest common factor of 4334,9771, we have to find the factors of both numbers and list the highest common factor.
The factors of 4334 are 1, 2, 11, 22, 197, 394, 2167, 4334
The factors of 9771 are 1, 3, 3257, 9771
The HCF of 4334,9771 is 1.
Lets's calculate GCF of 4334,9771
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4334,9771 By Matching Biggest Common Factor Method
Now, list down the factors of 4334
:1,2,11,22,197,394,2167,4334
Now, list down the factors of 9771
:1,3,3257,9771
Greatest Common Factor
We found the factors 4334,9771 . The biggest common factor number is the GCF number.
So the greatest common factor 4334,9771 is 1.
Lets's calculate LCM of 970,6962
| 2 | 970, 6962 |
| 485, 3481 |
∴ So the LCM of the given numbers is 2 x 485 x 3481 = 3376570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3376570
Therefore, the GCF of Fractions 4334/970,9771/6962 is 1/3376570
Least Common Multiple of 970,6962 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 970,6962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,6962) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(970,6962) x common factors =2 x 1 = 2
LCM(970,6962) = ( 970 × 6962 ) / 2
LCM(970,6962) = 6753140 / 2
LCM(970,6962) = 3376570
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FAQs on GCF of Fractions of 4334/970, 9771/6962
1. What is the HCF of 4334,9771?
The HCF of 4334,9771 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 4334/970, 9771/6962?
Answer: GCF of Numerators as per given numbers 4334/970, 9771/6962 is
GCF of Numerators i.e. for 4334,9771 is 1
LCM of denominators i.e. for 970,6962 is 3376570.
Thus, GCF of Fractions is 1/3376570.Finally, GCF of Fractions for 4334/970, 9771/6962 is 1/3376570.