GCF of 5341/700, 3710/6865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5341/700, 3710/6865 i.e 7/961100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5341/700, 3710/6865.
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 5341/700,3710/6865?
Given fractions are 5341/700,3710/6865
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 5341/700,3710/6865, numerators are 5341,3710
Denominators are 700,6865
The GCF of 5341,3710 is 7 .
LCM of 700,6865 is 961100.
The greatest common factor of 5341/700,3710/6865 = [GCF of 5341,3710]/[LCM of 700,6865]= 7/961100
Therefore, the GCF of 5341/700,3710/6865 is 7/961100.
To find the highest common factor of 5341,3710, we have to find the factors of both numbers and list the highest common factor.
The factors of 5341 are 1, 7, 49, 109, 763, 5341
The factors of 3710 are 1, 2, 5, 7, 10, 14, 35, 53, 70, 106, 265, 371, 530, 742, 1855, 3710
The HCF of 5341,3710 is 7.
Lets's calculate GCF of 5341,3710
| 7 | 5341, 3710 |
| 763, 530 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5341,3710 By Matching Biggest Common Factor Method
Now, list down the factors of 5341
:1,7,49,109,763,5341
Now, list down the factors of 3710
:1,2,5,7,10,14,35,53,70,106,265,371,530,742,1855,3710
Greatest Common Factor
We found the factors 5341,3710 . The biggest common factor number is the GCF number.
So the greatest common factor 5341,3710 is 7.
Lets's calculate LCM of 700,6865
| 5 | 700, 6865 |
| 140, 1373 |
∴ So the LCM of the given numbers is 5 x 140 x 1373 = 961100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/961100
Therefore, the GCF of Fractions 5341/700,3710/6865 is 7/961100
Least Common Multiple of 700,6865 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 700,6865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,6865) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(700,6865) x common factors =5 x 1 = 5
LCM(700,6865) = ( 700 × 6865 ) / 5
LCM(700,6865) = 4805500 / 5
LCM(700,6865) = 961100
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FAQs on GCF of Fractions of 5341/700, 3710/6865
1. What is the HCF of 5341,3710?
The HCF of 5341,3710 is 7
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 5341/700, 3710/6865?
Answer: GCF of Numerators as per given numbers 5341/700, 3710/6865 is
GCF of Numerators i.e. for 5341,3710 is 7
LCM of denominators i.e. for 700,6865 is 961100.
Thus, GCF of Fractions is 7/961100.Finally, GCF of Fractions for 5341/700, 3710/6865 is 7/961100.