GCF of 2901/630, 6112/7017
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2901/630, 6112/7017 i.e 1/1473570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2901/630, 6112/7017.
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 2901/630,6112/7017?
Given fractions are 2901/630,6112/7017
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 2901/630,6112/7017, numerators are 2901,6112
Denominators are 630,7017
The GCF of 2901,6112 is 1 .
LCM of 630,7017 is 1473570.
The greatest common factor of 2901/630,6112/7017 = [GCF of 2901,6112]/[LCM of 630,7017]= 1/1473570
Therefore, the GCF of 2901/630,6112/7017 is 1/1473570.
To find the highest common factor of 2901,6112, we have to find the factors of both numbers and list the highest common factor.
The factors of 2901 are 1, 3, 967, 2901
The factors of 6112 are 1, 2, 4, 8, 16, 32, 191, 382, 764, 1528, 3056, 6112
The HCF of 2901,6112 is 1.
Lets's calculate GCF of 2901,6112
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2901,6112 By Matching Biggest Common Factor Method
Now, list down the factors of 2901
:1,3,967,2901
Now, list down the factors of 6112
:1,2,4,8,16,32,191,382,764,1528,3056,6112
Greatest Common Factor
We found the factors 2901,6112 . The biggest common factor number is the GCF number.
So the greatest common factor 2901,6112 is 1.
Lets's calculate LCM of 630,7017
| 3 | 630, 7017 |
| 210, 2339 |
∴ So the LCM of the given numbers is 3 x 210 x 2339 = 1473570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1473570
Therefore, the GCF of Fractions 2901/630,6112/7017 is 1/1473570
Least Common Multiple of 630,7017 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 630,7017 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,7017) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(630,7017) x common factors =3 x 1 = 3
LCM(630,7017) = ( 630 × 7017 ) / 3
LCM(630,7017) = 4420710 / 3
LCM(630,7017) = 1473570
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FAQs on GCF of Fractions of 2901/630, 6112/7017
1. What is the HCF of 2901,6112?
The HCF of 2901,6112 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 2901/630, 6112/7017?
Answer: GCF of Numerators as per given numbers 2901/630, 6112/7017 is
GCF of Numerators i.e. for 2901,6112 is 1
LCM of denominators i.e. for 630,7017 is 1473570.
Thus, GCF of Fractions is 1/1473570.Finally, GCF of Fractions for 2901/630, 6112/7017 is 1/1473570.