GCF of 6358/934, 1037/9760
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6358/934, 1037/9760 i.e 17/4557920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6358/934, 1037/9760.
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 6358/934,1037/9760?
Given fractions are 6358/934,1037/9760
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 6358/934,1037/9760, numerators are 6358,1037
Denominators are 934,9760
The GCF of 6358,1037 is 17 .
LCM of 934,9760 is 4557920.
The greatest common factor of 6358/934,1037/9760 = [GCF of 6358,1037]/[LCM of 934,9760]= 17/4557920
Therefore, the GCF of 6358/934,1037/9760 is 17/4557920.
To find the highest common factor of 6358,1037, we have to find the factors of both numbers and list the highest common factor.
The factors of 6358 are 1, 2, 11, 17, 22, 34, 187, 289, 374, 578, 3179, 6358
The factors of 1037 are 1, 17, 61, 1037
The HCF of 6358,1037 is 17.
Lets's calculate GCF of 6358,1037
| 17 | 6358, 1037 |
| 374, 61 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 6358,1037 By Matching Biggest Common Factor Method
Now, list down the factors of 6358
:1,2,11,17,22,34,187,289,374,578,3179,6358
Now, list down the factors of 1037
:1,17,61,1037
Greatest Common Factor
We found the factors 6358,1037 . The biggest common factor number is the GCF number.
So the greatest common factor 6358,1037 is 17.
Lets's calculate LCM of 934,9760
| 2 | 934, 9760 |
| 467, 4880 |
∴ So the LCM of the given numbers is 2 x 467 x 4880 = 4557920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/4557920
Therefore, the GCF of Fractions 6358/934,1037/9760 is 17/4557920
Least Common Multiple of 934,9760 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 934,9760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,9760) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(934,9760) x common factors =2 x 1 = 2
LCM(934,9760) = ( 934 × 9760 ) / 2
LCM(934,9760) = 9115840 / 2
LCM(934,9760) = 4557920
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FAQs on GCF of Fractions of 6358/934, 1037/9760
1. What is the HCF of 6358,1037?
The HCF of 6358,1037 is 17
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 6358/934, 1037/9760?
Answer: GCF of Numerators as per given numbers 6358/934, 1037/9760 is
GCF of Numerators i.e. for 6358,1037 is 17
LCM of denominators i.e. for 934,9760 is 4557920.
Thus, GCF of Fractions is 17/4557920.Finally, GCF of Fractions for 6358/934, 1037/9760 is 17/4557920.