GCF of 9583/859, 2627/7237
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9583/859, 2627/7237 i.e 37/6216583 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9583/859, 2627/7237.
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 9583/859,2627/7237?
Given fractions are 9583/859,2627/7237
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 9583/859,2627/7237, numerators are 9583,2627
Denominators are 859,7237
The GCF of 9583,2627 is 37 .
LCM of 859,7237 is 6216583.
The greatest common factor of 9583/859,2627/7237 = [GCF of 9583,2627]/[LCM of 859,7237]= 37/6216583
Therefore, the GCF of 9583/859,2627/7237 is 37/6216583.
To find the highest common factor of 9583,2627, we have to find the factors of both numbers and list the highest common factor.
The factors of 9583 are 1, 7, 37, 259, 1369, 9583
The factors of 2627 are 1, 37, 71, 2627
The HCF of 9583,2627 is 37.
Lets's calculate GCF of 9583,2627
| 37 | 9583, 2627 |
| 259, 71 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 9583,2627 By Matching Biggest Common Factor Method
Now, list down the factors of 9583
:1,7,37,259,1369,9583
Now, list down the factors of 2627
:1,37,71,2627
Greatest Common Factor
We found the factors 9583,2627 . The biggest common factor number is the GCF number.
So the greatest common factor 9583,2627 is 37.
Lets's calculate LCM of 859,7237
Given numbers has no common factors except 1. So, there LCM is their product i.e 6216583
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/6216583
Therefore, the GCF of Fractions 9583/859,2627/7237 is 37/6216583
Least Common Multiple of 859,7237 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 859,7237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,7237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,7237) x common factors =1 x 1 = 1
LCM(859,7237) = ( 859 × 7237 ) / 1
LCM(859,7237) = 6216583 / 1
LCM(859,7237) = 6216583
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FAQs on GCF of Fractions of 9583/859, 2627/7237
1. What is the HCF of 9583,2627?
The HCF of 9583,2627 is 37
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 9583/859, 2627/7237?
Answer: GCF of Numerators as per given numbers 9583/859, 2627/7237 is
GCF of Numerators i.e. for 9583,2627 is 37
LCM of denominators i.e. for 859,7237 is 6216583.
Thus, GCF of Fractions is 37/6216583.Finally, GCF of Fractions for 9583/859, 2627/7237 is 37/6216583.