GCF of 6829/934, 5630/2742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6829/934, 5630/2742 i.e 1/1280514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6829/934, 5630/2742.
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 6829/934,5630/2742?
Given fractions are 6829/934,5630/2742
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 6829/934,5630/2742, numerators are 6829,5630
Denominators are 934,2742
The GCF of 6829,5630 is 1 .
LCM of 934,2742 is 1280514.
The greatest common factor of 6829/934,5630/2742 = [GCF of 6829,5630]/[LCM of 934,2742]= 1/1280514
Therefore, the GCF of 6829/934,5630/2742 is 1/1280514.
To find the highest common factor of 6829,5630, we have to find the factors of both numbers and list the highest common factor.
The factors of 6829 are 1, 6829
The factors of 5630 are 1, 2, 5, 10, 563, 1126, 2815, 5630
The HCF of 6829,5630 is 1.
Lets's calculate GCF of 6829,5630
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6829,5630 By Matching Biggest Common Factor Method
Now, list down the factors of 6829
:1,6829
Now, list down the factors of 5630
:1,2,5,10,563,1126,2815,5630
Greatest Common Factor
We found the factors 6829,5630 . The biggest common factor number is the GCF number.
So the greatest common factor 6829,5630 is 1.
Lets's calculate LCM of 934,2742
| 2 | 934, 2742 |
| 467, 1371 |
∴ So the LCM of the given numbers is 2 x 467 x 1371 = 1280514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1280514
Therefore, the GCF of Fractions 6829/934,5630/2742 is 1/1280514
Least Common Multiple of 934,2742 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 934,2742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,2742) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(934,2742) x common factors =2 x 1 = 2
LCM(934,2742) = ( 934 × 2742 ) / 2
LCM(934,2742) = 2561028 / 2
LCM(934,2742) = 1280514
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FAQs on GCF of Fractions of 6829/934, 5630/2742
1. What is the HCF of 6829,5630?
The HCF of 6829,5630 is 1
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 6829/934, 5630/2742?
Answer: GCF of Numerators as per given numbers 6829/934, 5630/2742 is
GCF of Numerators i.e. for 6829,5630 is 1
LCM of denominators i.e. for 934,2742 is 1280514.
Thus, GCF of Fractions is 1/1280514.Finally, GCF of Fractions for 6829/934, 5630/2742 is 1/1280514.