GCF of 429/118, 4758/580
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 429/118, 4758/580 i.e 39/34220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 429/118, 4758/580.
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 429/118,4758/580?
Given fractions are 429/118,4758/580
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 429/118,4758/580, numerators are 429,4758
Denominators are 118,580
The GCF of 429,4758 is 39 .
LCM of 118,580 is 34220.
The greatest common factor of 429/118,4758/580 = [GCF of 429,4758]/[LCM of 118,580]= 39/34220
Therefore, the GCF of 429/118,4758/580 is 39/34220.
To find the highest common factor of 429,4758, we have to find the factors of both numbers and list the highest common factor.
The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429
The factors of 4758 are 1, 2, 3, 6, 13, 26, 39, 61, 78, 122, 183, 366, 793, 1586, 2379, 4758
The HCF of 429,4758 is 39.
Lets's calculate GCF of 429,4758
| 3 | 429, 4758 |
| 13 | 143, 1586 |
| 11, 122 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 429,4758 By Matching Biggest Common Factor Method
Now, list down the factors of 429
:1,3,11,13,33,39,143,429
Now, list down the factors of 4758
:1,2,3,6,13,26,39,61,78,122,183,366,793,1586,2379,4758
Greatest Common Factor
We found the factors 429,4758 . The biggest common factor number is the GCF number.
So the greatest common factor 429,4758 is 39.
Lets's calculate LCM of 118,580
| 2 | 118, 580 |
| 59, 290 |
∴ So the LCM of the given numbers is 2 x 59 x 290 = 34220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/34220
Therefore, the GCF of Fractions 429/118,4758/580 is 39/34220
Least Common Multiple of 118,580 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 118,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,580) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(118,580) x common factors =2 x 1 = 2
LCM(118,580) = ( 118 × 580 ) / 2
LCM(118,580) = 68440 / 2
LCM(118,580) = 34220
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FAQs on GCF of Fractions of 429/118, 4758/580
1. What is the HCF of 429,4758?
The HCF of 429,4758 is 39
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 429/118, 4758/580?
Answer: GCF of Numerators as per given numbers 429/118, 4758/580 is
GCF of Numerators i.e. for 429,4758 is 39
LCM of denominators i.e. for 118,580 is 34220.
Thus, GCF of Fractions is 39/34220.Finally, GCF of Fractions for 429/118, 4758/580 is 39/34220.