GCF of 6014/708, 9499/4974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6014/708, 9499/4974 i.e 1/586932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6014/708, 9499/4974.
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 6014/708,9499/4974?
Given fractions are 6014/708,9499/4974
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 6014/708,9499/4974, numerators are 6014,9499
Denominators are 708,4974
The GCF of 6014,9499 is 1 .
LCM of 708,4974 is 586932.
The greatest common factor of 6014/708,9499/4974 = [GCF of 6014,9499]/[LCM of 708,4974]= 1/586932
Therefore, the GCF of 6014/708,9499/4974 is 1/586932.
To find the highest common factor of 6014,9499, we have to find the factors of both numbers and list the highest common factor.
The factors of 6014 are 1, 2, 31, 62, 97, 194, 3007, 6014
The factors of 9499 are 1, 7, 23, 59, 161, 413, 1357, 9499
The HCF of 6014,9499 is 1.
Lets's calculate GCF of 6014,9499
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6014,9499 By Matching Biggest Common Factor Method
Now, list down the factors of 6014
:1,2,31,62,97,194,3007,6014
Now, list down the factors of 9499
:1,7,23,59,161,413,1357,9499
Greatest Common Factor
We found the factors 6014,9499 . The biggest common factor number is the GCF number.
So the greatest common factor 6014,9499 is 1.
Lets's calculate LCM of 708,4974
| 2 | 708, 4974 |
| 3 | 354, 2487 |
| 118, 829 |
∴ So the LCM of the given numbers is 2 x 3 x 118 x 829 = 586932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/586932
Therefore, the GCF of Fractions 6014/708,9499/4974 is 1/586932
Least Common Multiple of 708,4974 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 708,4974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,4974) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(708,4974) x common factors =6 x 1 = 6
LCM(708,4974) = ( 708 × 4974 ) / 6
LCM(708,4974) = 3521592 / 6
LCM(708,4974) = 586932
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FAQs on GCF of Fractions of 6014/708, 9499/4974
1. What is the HCF of 6014,9499?
The HCF of 6014,9499 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 6014/708, 9499/4974?
Answer: GCF of Numerators as per given numbers 6014/708, 9499/4974 is
GCF of Numerators i.e. for 6014,9499 is 1
LCM of denominators i.e. for 708,4974 is 586932.
Thus, GCF of Fractions is 1/586932.Finally, GCF of Fractions for 6014/708, 9499/4974 is 1/586932.