GCF of 5179/966, 4738/2282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5179/966, 4738/2282 i.e 1/157458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5179/966, 4738/2282.
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 5179/966,4738/2282?
Given fractions are 5179/966,4738/2282
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 5179/966,4738/2282, numerators are 5179,4738
Denominators are 966,2282
The GCF of 5179,4738 is 1 .
LCM of 966,2282 is 157458.
The greatest common factor of 5179/966,4738/2282 = [GCF of 5179,4738]/[LCM of 966,2282]= 1/157458
Therefore, the GCF of 5179/966,4738/2282 is 1/157458.
To find the highest common factor of 5179,4738, we have to find the factors of both numbers and list the highest common factor.
The factors of 5179 are 1, 5179
The factors of 4738 are 1, 2, 23, 46, 103, 206, 2369, 4738
The HCF of 5179,4738 is 1.
Lets's calculate GCF of 5179,4738
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5179,4738 By Matching Biggest Common Factor Method
Now, list down the factors of 5179
:1,5179
Now, list down the factors of 4738
:1,2,23,46,103,206,2369,4738
Greatest Common Factor
We found the factors 5179,4738 . The biggest common factor number is the GCF number.
So the greatest common factor 5179,4738 is 1.
Lets's calculate LCM of 966,2282
| 2 | 966, 2282 |
| 7 | 483, 1141 |
| 69, 163 |
∴ So the LCM of the given numbers is 2 x 7 x 69 x 163 = 157458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157458
Therefore, the GCF of Fractions 5179/966,4738/2282 is 1/157458
Least Common Multiple of 966,2282 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 966,2282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,2282) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(966,2282) x common factors =14 x 1 = 14
LCM(966,2282) = ( 966 × 2282 ) / 14
LCM(966,2282) = 2204412 / 14
LCM(966,2282) = 157458
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FAQs on GCF of Fractions of 5179/966, 4738/2282
1. What is the HCF of 5179,4738?
The HCF of 5179,4738 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 5179/966, 4738/2282?
Answer: GCF of Numerators as per given numbers 5179/966, 4738/2282 is
GCF of Numerators i.e. for 5179,4738 is 1
LCM of denominators i.e. for 966,2282 is 157458.
Thus, GCF of Fractions is 1/157458.Finally, GCF of Fractions for 5179/966, 4738/2282 is 1/157458.