GCF of 1580/971, 7572/6255
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1580/971, 7572/6255 i.e 4/6073605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1580/971, 7572/6255.
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 1580/971,7572/6255?
Given fractions are 1580/971,7572/6255
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 1580/971,7572/6255, numerators are 1580,7572
Denominators are 971,6255
The GCF of 1580,7572 is 4 .
LCM of 971,6255 is 6073605.
The greatest common factor of 1580/971,7572/6255 = [GCF of 1580,7572]/[LCM of 971,6255]= 4/6073605
Therefore, the GCF of 1580/971,7572/6255 is 4/6073605.
To find the highest common factor of 1580,7572, we have to find the factors of both numbers and list the highest common factor.
The factors of 1580 are 1, 2, 4, 5, 10, 20, 79, 158, 316, 395, 790, 1580
The factors of 7572 are 1, 2, 3, 4, 6, 12, 631, 1262, 1893, 2524, 3786, 7572
The HCF of 1580,7572 is 4.
Lets's calculate GCF of 1580,7572
| 2 | 1580, 7572 |
| 2 | 790, 3786 |
| 395, 1893 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1580,7572 By Matching Biggest Common Factor Method
Now, list down the factors of 1580
:1,2,4,5,10,20,79,158,316,395,790,1580
Now, list down the factors of 7572
:1,2,3,4,6,12,631,1262,1893,2524,3786,7572
Greatest Common Factor
We found the factors 1580,7572 . The biggest common factor number is the GCF number.
So the greatest common factor 1580,7572 is 4.
Lets's calculate LCM of 971,6255
Given numbers has no common factors except 1. So, there LCM is their product i.e 6073605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6073605
Therefore, the GCF of Fractions 1580/971,7572/6255 is 4/6073605
Least Common Multiple of 971,6255 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 971,6255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,6255) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,6255) x common factors =1 x 1 = 1
LCM(971,6255) = ( 971 × 6255 ) / 1
LCM(971,6255) = 6073605 / 1
LCM(971,6255) = 6073605
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FAQs on GCF of Fractions of 1580/971, 7572/6255
1. What is the HCF of 1580,7572?
The HCF of 1580,7572 is 4
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 1580/971, 7572/6255?
Answer: GCF of Numerators as per given numbers 1580/971, 7572/6255 is
GCF of Numerators i.e. for 1580,7572 is 4
LCM of denominators i.e. for 971,6255 is 6073605.
Thus, GCF of Fractions is 4/6073605.Finally, GCF of Fractions for 1580/971, 7572/6255 is 4/6073605.