GCF of 9844/630, 3131/7020
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9844/630, 3131/7020 i.e 1/49140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9844/630, 3131/7020.
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 9844/630,3131/7020?
Given fractions are 9844/630,3131/7020
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 9844/630,3131/7020, numerators are 9844,3131
Denominators are 630,7020
The GCF of 9844,3131 is 1 .
LCM of 630,7020 is 49140.
The greatest common factor of 9844/630,3131/7020 = [GCF of 9844,3131]/[LCM of 630,7020]= 1/49140
Therefore, the GCF of 9844/630,3131/7020 is 1/49140.
To find the highest common factor of 9844,3131, we have to find the factors of both numbers and list the highest common factor.
The factors of 9844 are 1, 2, 4, 23, 46, 92, 107, 214, 428, 2461, 4922, 9844
The factors of 3131 are 1, 31, 101, 3131
The HCF of 9844,3131 is 1.
Lets's calculate GCF of 9844,3131
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9844,3131 By Matching Biggest Common Factor Method
Now, list down the factors of 9844
:1,2,4,23,46,92,107,214,428,2461,4922,9844
Now, list down the factors of 3131
:1,31,101,3131
Greatest Common Factor
We found the factors 9844,3131 . The biggest common factor number is the GCF number.
So the greatest common factor 9844,3131 is 1.
Lets's calculate LCM of 630,7020
| 2 | 630, 7020 |
| 3 | 315, 3510 |
| 3 | 105, 1170 |
| 5 | 35, 390 |
| 7, 78 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 7 x 78 = 49140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49140
Therefore, the GCF of Fractions 9844/630,3131/7020 is 1/49140
Least Common Multiple of 630,7020 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 630,7020 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,7020) = 90
common factors(in case of two or more numbers have common factors) = 1
GCF(630,7020) x common factors =90 x 1 = 90
LCM(630,7020) = ( 630 × 7020 ) / 90
LCM(630,7020) = 4422600 / 90
LCM(630,7020) = 49140
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FAQs on GCF of Fractions of 9844/630, 3131/7020
1. What is the HCF of 9844,3131?
The HCF of 9844,3131 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 9844/630, 3131/7020?
Answer: GCF of Numerators as per given numbers 9844/630, 3131/7020 is
GCF of Numerators i.e. for 9844,3131 is 1
LCM of denominators i.e. for 630,7020 is 49140.
Thus, GCF of Fractions is 1/49140.Finally, GCF of Fractions for 9844/630, 3131/7020 is 1/49140.