GCF of 6253/202, 2119/278
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6253/202, 2119/278 i.e 13/28078 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6253/202, 2119/278.
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 6253/202,2119/278?
Given fractions are 6253/202,2119/278
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 6253/202,2119/278, numerators are 6253,2119
Denominators are 202,278
The GCF of 6253,2119 is 13 .
LCM of 202,278 is 28078.
The greatest common factor of 6253/202,2119/278 = [GCF of 6253,2119]/[LCM of 202,278]= 13/28078
Therefore, the GCF of 6253/202,2119/278 is 13/28078.
To find the highest common factor of 6253,2119, we have to find the factors of both numbers and list the highest common factor.
The factors of 6253 are 1, 13, 37, 169, 481, 6253
The factors of 2119 are 1, 13, 163, 2119
The HCF of 6253,2119 is 13.
Lets's calculate GCF of 6253,2119
| 13 | 6253, 2119 |
| 481, 163 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 6253,2119 By Matching Biggest Common Factor Method
Now, list down the factors of 6253
:1,13,37,169,481,6253
Now, list down the factors of 2119
:1,13,163,2119
Greatest Common Factor
We found the factors 6253,2119 . The biggest common factor number is the GCF number.
So the greatest common factor 6253,2119 is 13.
Lets's calculate LCM of 202,278
| 2 | 202, 278 |
| 101, 139 |
∴ So the LCM of the given numbers is 2 x 101 x 139 = 28078
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/28078
Therefore, the GCF of Fractions 6253/202,2119/278 is 13/28078
Least Common Multiple of 202,278 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 202,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,278) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,278) x common factors =2 x 1 = 2
LCM(202,278) = ( 202 × 278 ) / 2
LCM(202,278) = 56156 / 2
LCM(202,278) = 28078
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FAQs on GCF of Fractions of 6253/202, 2119/278
1. What is the HCF of 6253,2119?
The HCF of 6253,2119 is 13
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 6253/202, 2119/278?
Answer: GCF of Numerators as per given numbers 6253/202, 2119/278 is
GCF of Numerators i.e. for 6253,2119 is 13
LCM of denominators i.e. for 202,278 is 28078.
Thus, GCF of Fractions is 13/28078.Finally, GCF of Fractions for 6253/202, 2119/278 is 13/28078.