GCF of 9737/886, 4291/2126
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9737/886, 4291/2126 i.e 7/941818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9737/886, 4291/2126.
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 9737/886,4291/2126?
Given fractions are 9737/886,4291/2126
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 9737/886,4291/2126, numerators are 9737,4291
Denominators are 886,2126
The GCF of 9737,4291 is 7 .
LCM of 886,2126 is 941818.
The greatest common factor of 9737/886,4291/2126 = [GCF of 9737,4291]/[LCM of 886,2126]= 7/941818
Therefore, the GCF of 9737/886,4291/2126 is 7/941818.
To find the highest common factor of 9737,4291, we have to find the factors of both numbers and list the highest common factor.
The factors of 9737 are 1, 7, 13, 91, 107, 749, 1391, 9737
The factors of 4291 are 1, 7, 613, 4291
The HCF of 9737,4291 is 7.
Lets's calculate GCF of 9737,4291
| 7 | 9737, 4291 |
| 1391, 613 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9737,4291 By Matching Biggest Common Factor Method
Now, list down the factors of 9737
:1,7,13,91,107,749,1391,9737
Now, list down the factors of 4291
:1,7,613,4291
Greatest Common Factor
We found the factors 9737,4291 . The biggest common factor number is the GCF number.
So the greatest common factor 9737,4291 is 7.
Lets's calculate LCM of 886,2126
| 2 | 886, 2126 |
| 443, 1063 |
∴ So the LCM of the given numbers is 2 x 443 x 1063 = 941818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/941818
Therefore, the GCF of Fractions 9737/886,4291/2126 is 7/941818
Least Common Multiple of 886,2126 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 886,2126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,2126) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(886,2126) x common factors =2 x 1 = 2
LCM(886,2126) = ( 886 × 2126 ) / 2
LCM(886,2126) = 1883636 / 2
LCM(886,2126) = 941818
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FAQs on GCF of Fractions of 9737/886, 4291/2126
1. What is the HCF of 9737,4291?
The HCF of 9737,4291 is 7
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 9737/886, 4291/2126?
Answer: GCF of Numerators as per given numbers 9737/886, 4291/2126 is
GCF of Numerators i.e. for 9737,4291 is 7
LCM of denominators i.e. for 886,2126 is 941818.
Thus, GCF of Fractions is 7/941818.Finally, GCF of Fractions for 9737/886, 4291/2126 is 7/941818.