GCF of 1560/622, 9587/7972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1560/622, 9587/7972 i.e 1/2479292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1560/622, 9587/7972.
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 1560/622,9587/7972?
Given fractions are 1560/622,9587/7972
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 1560/622,9587/7972, numerators are 1560,9587
Denominators are 622,7972
The GCF of 1560,9587 is 1 .
LCM of 622,7972 is 2479292.
The greatest common factor of 1560/622,9587/7972 = [GCF of 1560,9587]/[LCM of 622,7972]= 1/2479292
Therefore, the GCF of 1560/622,9587/7972 is 1/2479292.
To find the highest common factor of 1560,9587, we have to find the factors of both numbers and list the highest common factor.
The factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560
The factors of 9587 are 1, 9587
The HCF of 1560,9587 is 1.
Lets's calculate GCF of 1560,9587
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1560,9587 By Matching Biggest Common Factor Method
Now, list down the factors of 1560
:1,2,3,4,5,6,8,10,12,13,15,20,24,26,30,39,40,52,60,65,78,104,120,130,156,195,260,312,390,520,780,1560
Now, list down the factors of 9587
:1,9587
Greatest Common Factor
We found the factors 1560,9587 . The biggest common factor number is the GCF number.
So the greatest common factor 1560,9587 is 1.
Lets's calculate LCM of 622,7972
| 2 | 622, 7972 |
| 311, 3986 |
∴ So the LCM of the given numbers is 2 x 311 x 3986 = 2479292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2479292
Therefore, the GCF of Fractions 1560/622,9587/7972 is 1/2479292
Least Common Multiple of 622,7972 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 622,7972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,7972) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(622,7972) x common factors =2 x 1 = 2
LCM(622,7972) = ( 622 × 7972 ) / 2
LCM(622,7972) = 4958584 / 2
LCM(622,7972) = 2479292
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FAQs on GCF of Fractions of 1560/622, 9587/7972
1. What is the HCF of 1560,9587?
The HCF of 1560,9587 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 1560/622, 9587/7972?
Answer: GCF of Numerators as per given numbers 1560/622, 9587/7972 is
GCF of Numerators i.e. for 1560,9587 is 1
LCM of denominators i.e. for 622,7972 is 2479292.
Thus, GCF of Fractions is 1/2479292.Finally, GCF of Fractions for 1560/622, 9587/7972 is 1/2479292.