GCF of 1388/840, 8746/6097
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1388/840, 8746/6097 i.e 2/731640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1388/840, 8746/6097.
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 1388/840,8746/6097?
Given fractions are 1388/840,8746/6097
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 1388/840,8746/6097, numerators are 1388,8746
Denominators are 840,6097
The GCF of 1388,8746 is 2 .
LCM of 840,6097 is 731640.
The greatest common factor of 1388/840,8746/6097 = [GCF of 1388,8746]/[LCM of 840,6097]= 2/731640
Therefore, the GCF of 1388/840,8746/6097 is 2/731640.
To find the highest common factor of 1388,8746, we have to find the factors of both numbers and list the highest common factor.
The factors of 1388 are 1, 2, 4, 347, 694, 1388
The factors of 8746 are 1, 2, 4373, 8746
The HCF of 1388,8746 is 2.
Lets's calculate GCF of 1388,8746
| 2 | 1388, 8746 |
| 694, 4373 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1388,8746 By Matching Biggest Common Factor Method
Now, list down the factors of 1388
:1,2,4,347,694,1388
Now, list down the factors of 8746
:1,2,4373,8746
Greatest Common Factor
We found the factors 1388,8746 . The biggest common factor number is the GCF number.
So the greatest common factor 1388,8746 is 2.
Lets's calculate LCM of 840,6097
| 7 | 840, 6097 |
| 120, 871 |
∴ So the LCM of the given numbers is 7 x 120 x 871 = 731640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/731640
Therefore, the GCF of Fractions 1388/840,8746/6097 is 2/731640
Least Common Multiple of 840,6097 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 840,6097 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,6097) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(840,6097) x common factors =7 x 1 = 7
LCM(840,6097) = ( 840 × 6097 ) / 7
LCM(840,6097) = 5121480 / 7
LCM(840,6097) = 731640
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FAQs on GCF of Fractions of 1388/840, 8746/6097
1. What is the HCF of 1388,8746?
The HCF of 1388,8746 is 2
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 1388/840, 8746/6097?
Answer: GCF of Numerators as per given numbers 1388/840, 8746/6097 is
GCF of Numerators i.e. for 1388,8746 is 2
LCM of denominators i.e. for 840,6097 is 731640.
Thus, GCF of Fractions is 2/731640.Finally, GCF of Fractions for 1388/840, 8746/6097 is 2/731640.