GCF of 3093/715, 7829/6974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3093/715, 7829/6974 i.e 1/453310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3093/715, 7829/6974.
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 3093/715,7829/6974?
Given fractions are 3093/715,7829/6974
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 3093/715,7829/6974, numerators are 3093,7829
Denominators are 715,6974
The GCF of 3093,7829 is 1 .
LCM of 715,6974 is 453310.
The greatest common factor of 3093/715,7829/6974 = [GCF of 3093,7829]/[LCM of 715,6974]= 1/453310
Therefore, the GCF of 3093/715,7829/6974 is 1/453310.
To find the highest common factor of 3093,7829, we have to find the factors of both numbers and list the highest common factor.
The factors of 3093 are 1, 3, 1031, 3093
The factors of 7829 are 1, 7829
The HCF of 3093,7829 is 1.
Lets's calculate GCF of 3093,7829
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3093,7829 By Matching Biggest Common Factor Method
Now, list down the factors of 3093
:1,3,1031,3093
Now, list down the factors of 7829
:1,7829
Greatest Common Factor
We found the factors 3093,7829 . The biggest common factor number is the GCF number.
So the greatest common factor 3093,7829 is 1.
Lets's calculate LCM of 715,6974
| 11 | 715, 6974 |
| 65, 634 |
∴ So the LCM of the given numbers is 11 x 65 x 634 = 453310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/453310
Therefore, the GCF of Fractions 3093/715,7829/6974 is 1/453310
Least Common Multiple of 715,6974 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 715,6974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,6974) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(715,6974) x common factors =11 x 1 = 11
LCM(715,6974) = ( 715 × 6974 ) / 11
LCM(715,6974) = 4986410 / 11
LCM(715,6974) = 453310
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FAQs on GCF of Fractions of 3093/715, 7829/6974
1. What is the HCF of 3093,7829?
The HCF of 3093,7829 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 3093/715, 7829/6974?
Answer: GCF of Numerators as per given numbers 3093/715, 7829/6974 is
GCF of Numerators i.e. for 3093,7829 is 1
LCM of denominators i.e. for 715,6974 is 453310.
Thus, GCF of Fractions is 1/453310.Finally, GCF of Fractions for 3093/715, 7829/6974 is 1/453310.