GCF of 7134/710, 5838/212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7134/710, 5838/212 i.e 6/75260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7134/710, 5838/212.
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 7134/710,5838/212?
Given fractions are 7134/710,5838/212
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 7134/710,5838/212, numerators are 7134,5838
Denominators are 710,212
The GCF of 7134,5838 is 6 .
LCM of 710,212 is 75260.
The greatest common factor of 7134/710,5838/212 = [GCF of 7134,5838]/[LCM of 710,212]= 6/75260
Therefore, the GCF of 7134/710,5838/212 is 6/75260.
To find the highest common factor of 7134,5838, we have to find the factors of both numbers and list the highest common factor.
The factors of 7134 are 1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134
The factors of 5838 are 1, 2, 3, 6, 7, 14, 21, 42, 139, 278, 417, 834, 973, 1946, 2919, 5838
The HCF of 7134,5838 is 6.
Lets's calculate GCF of 7134,5838
| 2 | 7134, 5838 |
| 3 | 3567, 2919 |
| 1189, 973 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7134,5838 By Matching Biggest Common Factor Method
Now, list down the factors of 7134
:1,2,3,6,29,41,58,82,87,123,174,246,1189,2378,3567,7134
Now, list down the factors of 5838
:1,2,3,6,7,14,21,42,139,278,417,834,973,1946,2919,5838
Greatest Common Factor
We found the factors 7134,5838 . The biggest common factor number is the GCF number.
So the greatest common factor 7134,5838 is 6.
Lets's calculate LCM of 710,212
| 2 | 710, 212 |
| 355, 106 |
∴ So the LCM of the given numbers is 2 x 355 x 106 = 75260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/75260
Therefore, the GCF of Fractions 7134/710,5838/212 is 6/75260
Least Common Multiple of 710,212 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 710,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,212) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(710,212) x common factors =2 x 1 = 2
LCM(710,212) = ( 710 × 212 ) / 2
LCM(710,212) = 150520 / 2
LCM(710,212) = 75260
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FAQs on GCF of Fractions of 7134/710, 5838/212
1. What is the HCF of 7134,5838?
The HCF of 7134,5838 is 6
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 7134/710, 5838/212?
Answer: GCF of Numerators as per given numbers 7134/710, 5838/212 is
GCF of Numerators i.e. for 7134,5838 is 6
LCM of denominators i.e. for 710,212 is 75260.
Thus, GCF of Fractions is 6/75260.Finally, GCF of Fractions for 7134/710, 5838/212 is 6/75260.