GCF of 6265/902, 2051/3384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6265/902, 2051/3384 i.e 7/1526184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6265/902, 2051/3384.
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 6265/902,2051/3384?
Given fractions are 6265/902,2051/3384
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 6265/902,2051/3384, numerators are 6265,2051
Denominators are 902,3384
The GCF of 6265,2051 is 7 .
LCM of 902,3384 is 1526184.
The greatest common factor of 6265/902,2051/3384 = [GCF of 6265,2051]/[LCM of 902,3384]= 7/1526184
Therefore, the GCF of 6265/902,2051/3384 is 7/1526184.
To find the highest common factor of 6265,2051, we have to find the factors of both numbers and list the highest common factor.
The factors of 6265 are 1, 5, 7, 35, 179, 895, 1253, 6265
The factors of 2051 are 1, 7, 293, 2051
The HCF of 6265,2051 is 7.
Lets's calculate GCF of 6265,2051
| 7 | 6265, 2051 |
| 895, 293 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6265,2051 By Matching Biggest Common Factor Method
Now, list down the factors of 6265
:1,5,7,35,179,895,1253,6265
Now, list down the factors of 2051
:1,7,293,2051
Greatest Common Factor
We found the factors 6265,2051 . The biggest common factor number is the GCF number.
So the greatest common factor 6265,2051 is 7.
Lets's calculate LCM of 902,3384
| 2 | 902, 3384 |
| 451, 1692 |
∴ So the LCM of the given numbers is 2 x 451 x 1692 = 1526184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1526184
Therefore, the GCF of Fractions 6265/902,2051/3384 is 7/1526184
Least Common Multiple of 902,3384 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 902,3384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,3384) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,3384) x common factors =2 x 1 = 2
LCM(902,3384) = ( 902 × 3384 ) / 2
LCM(902,3384) = 3052368 / 2
LCM(902,3384) = 1526184
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FAQs on GCF of Fractions of 6265/902, 2051/3384
1. What is the HCF of 6265,2051?
The HCF of 6265,2051 is 7
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 6265/902, 2051/3384?
Answer: GCF of Numerators as per given numbers 6265/902, 2051/3384 is
GCF of Numerators i.e. for 6265,2051 is 7
LCM of denominators i.e. for 902,3384 is 1526184.
Thus, GCF of Fractions is 7/1526184.Finally, GCF of Fractions for 6265/902, 2051/3384 is 7/1526184.