GCF of 6902/369, 2114/1439
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6902/369, 2114/1439 i.e 14/530991 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6902/369, 2114/1439.
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 6902/369,2114/1439?
Given fractions are 6902/369,2114/1439
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 6902/369,2114/1439, numerators are 6902,2114
Denominators are 369,1439
The GCF of 6902,2114 is 14 .
LCM of 369,1439 is 530991.
The greatest common factor of 6902/369,2114/1439 = [GCF of 6902,2114]/[LCM of 369,1439]= 14/530991
Therefore, the GCF of 6902/369,2114/1439 is 14/530991.
To find the highest common factor of 6902,2114, we have to find the factors of both numbers and list the highest common factor.
The factors of 6902 are 1, 2, 7, 14, 17, 29, 34, 58, 119, 203, 238, 406, 493, 986, 3451, 6902
The factors of 2114 are 1, 2, 7, 14, 151, 302, 1057, 2114
The HCF of 6902,2114 is 14.
Lets's calculate GCF of 6902,2114
| 2 | 6902, 2114 |
| 7 | 3451, 1057 |
| 493, 151 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 6902,2114 By Matching Biggest Common Factor Method
Now, list down the factors of 6902
:1,2,7,14,17,29,34,58,119,203,238,406,493,986,3451,6902
Now, list down the factors of 2114
:1,2,7,14,151,302,1057,2114
Greatest Common Factor
We found the factors 6902,2114 . The biggest common factor number is the GCF number.
So the greatest common factor 6902,2114 is 14.
Lets's calculate LCM of 369,1439
Given numbers has no common factors except 1. So, there LCM is their product i.e 530991
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/530991
Therefore, the GCF of Fractions 6902/369,2114/1439 is 14/530991
Least Common Multiple of 369,1439 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 369,1439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,1439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(369,1439) x common factors =1 x 1 = 1
LCM(369,1439) = ( 369 × 1439 ) / 1
LCM(369,1439) = 530991 / 1
LCM(369,1439) = 530991
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FAQs on GCF of Fractions of 6902/369, 2114/1439
1. What is the HCF of 6902,2114?
The HCF of 6902,2114 is 14
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 6902/369, 2114/1439?
Answer: GCF of Numerators as per given numbers 6902/369, 2114/1439 is
GCF of Numerators i.e. for 6902,2114 is 14
LCM of denominators i.e. for 369,1439 is 530991.
Thus, GCF of Fractions is 14/530991.Finally, GCF of Fractions for 6902/369, 2114/1439 is 14/530991.