GCF of 5868/614, 3114/5132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5868/614, 3114/5132 i.e 18/1575524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5868/614, 3114/5132.
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 5868/614,3114/5132?
Given fractions are 5868/614,3114/5132
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 5868/614,3114/5132, numerators are 5868,3114
Denominators are 614,5132
The GCF of 5868,3114 is 18 .
LCM of 614,5132 is 1575524.
The greatest common factor of 5868/614,3114/5132 = [GCF of 5868,3114]/[LCM of 614,5132]= 18/1575524
Therefore, the GCF of 5868/614,3114/5132 is 18/1575524.
To find the highest common factor of 5868,3114, we have to find the factors of both numbers and list the highest common factor.
The factors of 5868 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 163, 326, 489, 652, 978, 1467, 1956, 2934, 5868
The factors of 3114 are 1, 2, 3, 6, 9, 18, 173, 346, 519, 1038, 1557, 3114
The HCF of 5868,3114 is 18.
Lets's calculate GCF of 5868,3114
| 2 | 5868, 3114 |
| 3 | 2934, 1557 |
| 3 | 978, 519 |
| 326, 173 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 5868,3114 By Matching Biggest Common Factor Method
Now, list down the factors of 5868
:1,2,3,4,6,9,12,18,36,163,326,489,652,978,1467,1956,2934,5868
Now, list down the factors of 3114
:1,2,3,6,9,18,173,346,519,1038,1557,3114
Greatest Common Factor
We found the factors 5868,3114 . The biggest common factor number is the GCF number.
So the greatest common factor 5868,3114 is 18.
Lets's calculate LCM of 614,5132
| 2 | 614, 5132 |
| 307, 2566 |
∴ So the LCM of the given numbers is 2 x 307 x 2566 = 1575524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/1575524
Therefore, the GCF of Fractions 5868/614,3114/5132 is 18/1575524
Least Common Multiple of 614,5132 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 614,5132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,5132) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(614,5132) x common factors =2 x 1 = 2
LCM(614,5132) = ( 614 × 5132 ) / 2
LCM(614,5132) = 3151048 / 2
LCM(614,5132) = 1575524
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FAQs on GCF of Fractions of 5868/614, 3114/5132
1. What is the HCF of 5868,3114?
The HCF of 5868,3114 is 18
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 5868/614, 3114/5132?
Answer: GCF of Numerators as per given numbers 5868/614, 3114/5132 is
GCF of Numerators i.e. for 5868,3114 is 18
LCM of denominators i.e. for 614,5132 is 1575524.
Thus, GCF of Fractions is 18/1575524.Finally, GCF of Fractions for 5868/614, 3114/5132 is 18/1575524.