GCF of 3304/872, 6251/369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3304/872, 6251/369 i.e 7/321768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3304/872, 6251/369.
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 3304/872,6251/369?
Given fractions are 3304/872,6251/369
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 3304/872,6251/369, numerators are 3304,6251
Denominators are 872,369
The GCF of 3304,6251 is 7 .
LCM of 872,369 is 321768.
The greatest common factor of 3304/872,6251/369 = [GCF of 3304,6251]/[LCM of 872,369]= 7/321768
Therefore, the GCF of 3304/872,6251/369 is 7/321768.
To find the highest common factor of 3304,6251, we have to find the factors of both numbers and list the highest common factor.
The factors of 3304 are 1, 2, 4, 7, 8, 14, 28, 56, 59, 118, 236, 413, 472, 826, 1652, 3304
The factors of 6251 are 1, 7, 19, 47, 133, 329, 893, 6251
The HCF of 3304,6251 is 7.
Lets's calculate GCF of 3304,6251
| 7 | 3304, 6251 |
| 472, 893 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3304,6251 By Matching Biggest Common Factor Method
Now, list down the factors of 3304
:1,2,4,7,8,14,28,56,59,118,236,413,472,826,1652,3304
Now, list down the factors of 6251
:1,7,19,47,133,329,893,6251
Greatest Common Factor
We found the factors 3304,6251 . The biggest common factor number is the GCF number.
So the greatest common factor 3304,6251 is 7.
Lets's calculate LCM of 872,369
Given numbers has no common factors except 1. So, there LCM is their product i.e 321768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/321768
Therefore, the GCF of Fractions 3304/872,6251/369 is 7/321768
Least Common Multiple of 872,369 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 872,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(872,369) x common factors =1 x 1 = 1
LCM(872,369) = ( 872 × 369 ) / 1
LCM(872,369) = 321768 / 1
LCM(872,369) = 321768
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FAQs on GCF of Fractions of 3304/872, 6251/369
1. What is the HCF of 3304,6251?
The HCF of 3304,6251 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 3304/872, 6251/369?
Answer: GCF of Numerators as per given numbers 3304/872, 6251/369 is
GCF of Numerators i.e. for 3304,6251 is 7
LCM of denominators i.e. for 872,369 is 321768.
Thus, GCF of Fractions is 7/321768.Finally, GCF of Fractions for 3304/872, 6251/369 is 7/321768.