GCF of 1135/652, 1586/7464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1135/652, 1586/7464 i.e 1/1216632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1135/652, 1586/7464.
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 1135/652,1586/7464?
Given fractions are 1135/652,1586/7464
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 1135/652,1586/7464, numerators are 1135,1586
Denominators are 652,7464
The GCF of 1135,1586 is 1 .
LCM of 652,7464 is 1216632.
The greatest common factor of 1135/652,1586/7464 = [GCF of 1135,1586]/[LCM of 652,7464]= 1/1216632
Therefore, the GCF of 1135/652,1586/7464 is 1/1216632.
To find the highest common factor of 1135,1586, we have to find the factors of both numbers and list the highest common factor.
The factors of 1135 are 1, 5, 227, 1135
The factors of 1586 are 1, 2, 13, 26, 61, 122, 793, 1586
The HCF of 1135,1586 is 1.
Lets's calculate GCF of 1135,1586
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1135,1586 By Matching Biggest Common Factor Method
Now, list down the factors of 1135
:1,5,227,1135
Now, list down the factors of 1586
:1,2,13,26,61,122,793,1586
Greatest Common Factor
We found the factors 1135,1586 . The biggest common factor number is the GCF number.
So the greatest common factor 1135,1586 is 1.
Lets's calculate LCM of 652,7464
| 2 | 652, 7464 |
| 2 | 326, 3732 |
| 163, 1866 |
∴ So the LCM of the given numbers is 2 x 2 x 163 x 1866 = 1216632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1216632
Therefore, the GCF of Fractions 1135/652,1586/7464 is 1/1216632
Least Common Multiple of 652,7464 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 652,7464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,7464) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(652,7464) x common factors =4 x 1 = 4
LCM(652,7464) = ( 652 × 7464 ) / 4
LCM(652,7464) = 4866528 / 4
LCM(652,7464) = 1216632
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FAQs on GCF of Fractions of 1135/652, 1586/7464
1. What is the HCF of 1135,1586?
The HCF of 1135,1586 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 1135/652, 1586/7464?
Answer: GCF of Numerators as per given numbers 1135/652, 1586/7464 is
GCF of Numerators i.e. for 1135,1586 is 1
LCM of denominators i.e. for 652,7464 is 1216632.
Thus, GCF of Fractions is 1/1216632.Finally, GCF of Fractions for 1135/652, 1586/7464 is 1/1216632.