GCF of 5434/853, 6281/6957
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5434/853, 6281/6957 i.e 11/5934321 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5434/853, 6281/6957.
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 5434/853,6281/6957?
Given fractions are 5434/853,6281/6957
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 5434/853,6281/6957, numerators are 5434,6281
Denominators are 853,6957
The GCF of 5434,6281 is 11 .
LCM of 853,6957 is 5934321.
The greatest common factor of 5434/853,6281/6957 = [GCF of 5434,6281]/[LCM of 853,6957]= 11/5934321
Therefore, the GCF of 5434/853,6281/6957 is 11/5934321.
To find the highest common factor of 5434,6281, we have to find the factors of both numbers and list the highest common factor.
The factors of 5434 are 1, 2, 11, 13, 19, 22, 26, 38, 143, 209, 247, 286, 418, 494, 2717, 5434
The factors of 6281 are 1, 11, 571, 6281
The HCF of 5434,6281 is 11.
Lets's calculate GCF of 5434,6281
| 11 | 5434, 6281 |
| 494, 571 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 5434,6281 By Matching Biggest Common Factor Method
Now, list down the factors of 5434
:1,2,11,13,19,22,26,38,143,209,247,286,418,494,2717,5434
Now, list down the factors of 6281
:1,11,571,6281
Greatest Common Factor
We found the factors 5434,6281 . The biggest common factor number is the GCF number.
So the greatest common factor 5434,6281 is 11.
Lets's calculate LCM of 853,6957
Given numbers has no common factors except 1. So, there LCM is their product i.e 5934321
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/5934321
Therefore, the GCF of Fractions 5434/853,6281/6957 is 11/5934321
Least Common Multiple of 853,6957 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 853,6957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,6957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,6957) x common factors =1 x 1 = 1
LCM(853,6957) = ( 853 × 6957 ) / 1
LCM(853,6957) = 5934321 / 1
LCM(853,6957) = 5934321
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FAQs on GCF of Fractions of 5434/853, 6281/6957
1. What is the HCF of 5434,6281?
The HCF of 5434,6281 is 11
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 5434/853, 6281/6957?
Answer: GCF of Numerators as per given numbers 5434/853, 6281/6957 is
GCF of Numerators i.e. for 5434,6281 is 11
LCM of denominators i.e. for 853,6957 is 5934321.
Thus, GCF of Fractions is 11/5934321.Finally, GCF of Fractions for 5434/853, 6281/6957 is 11/5934321.