GCF of 2731/970, 7980/3270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2731/970, 7980/3270 i.e 1/317190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2731/970, 7980/3270.
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 2731/970,7980/3270?
Given fractions are 2731/970,7980/3270
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 2731/970,7980/3270, numerators are 2731,7980
Denominators are 970,3270
The GCF of 2731,7980 is 1 .
LCM of 970,3270 is 317190.
The greatest common factor of 2731/970,7980/3270 = [GCF of 2731,7980]/[LCM of 970,3270]= 1/317190
Therefore, the GCF of 2731/970,7980/3270 is 1/317190.
To find the highest common factor of 2731,7980, we have to find the factors of both numbers and list the highest common factor.
The factors of 2731 are 1, 2731
The factors of 7980 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 19, 20, 21, 28, 30, 35, 38, 42, 57, 60, 70, 76, 84, 95, 105, 114, 133, 140, 190, 210, 228, 266, 285, 380, 399, 420, 532, 570, 665, 798, 1140, 1330, 1596, 1995, 2660, 3990, 7980
The HCF of 2731,7980 is 1.
Lets's calculate GCF of 2731,7980
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2731,7980 By Matching Biggest Common Factor Method
Now, list down the factors of 2731
:1,2731
Now, list down the factors of 7980
:1,2,3,4,5,6,7,10,12,14,15,19,20,21,28,30,35,38,42,57,60,70,76,84,95,105,114,133,140,190,210,228,266,285,380,399,420,532,570,665,798,1140,1330,1596,1995,2660,3990,7980
Greatest Common Factor
We found the factors 2731,7980 . The biggest common factor number is the GCF number.
So the greatest common factor 2731,7980 is 1.
Lets's calculate LCM of 970,3270
| 2 | 970, 3270 |
| 5 | 485, 1635 |
| 97, 327 |
∴ So the LCM of the given numbers is 2 x 5 x 97 x 327 = 317190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/317190
Therefore, the GCF of Fractions 2731/970,7980/3270 is 1/317190
Least Common Multiple of 970,3270 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 970,3270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,3270) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(970,3270) x common factors =10 x 1 = 10
LCM(970,3270) = ( 970 × 3270 ) / 10
LCM(970,3270) = 3171900 / 10
LCM(970,3270) = 317190
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FAQs on GCF of Fractions of 2731/970, 7980/3270
1. What is the HCF of 2731,7980?
The HCF of 2731,7980 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 2731/970, 7980/3270?
Answer: GCF of Numerators as per given numbers 2731/970, 7980/3270 is
GCF of Numerators i.e. for 2731,7980 is 1
LCM of denominators i.e. for 970,3270 is 317190.
Thus, GCF of Fractions is 1/317190.Finally, GCF of Fractions for 2731/970, 7980/3270 is 1/317190.