GCF of 4674/429, 3907/4197
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4674/429, 3907/4197 i.e 1/600171 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4674/429, 3907/4197.
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 4674/429,3907/4197?
Given fractions are 4674/429,3907/4197
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 4674/429,3907/4197, numerators are 4674,3907
Denominators are 429,4197
The GCF of 4674,3907 is 1 .
LCM of 429,4197 is 600171.
The greatest common factor of 4674/429,3907/4197 = [GCF of 4674,3907]/[LCM of 429,4197]= 1/600171
Therefore, the GCF of 4674/429,3907/4197 is 1/600171.
To find the highest common factor of 4674,3907, we have to find the factors of both numbers and list the highest common factor.
The factors of 4674 are 1, 2, 3, 6, 19, 38, 41, 57, 82, 114, 123, 246, 779, 1558, 2337, 4674
The factors of 3907 are 1, 3907
The HCF of 4674,3907 is 1.
Lets's calculate GCF of 4674,3907
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4674,3907 By Matching Biggest Common Factor Method
Now, list down the factors of 4674
:1,2,3,6,19,38,41,57,82,114,123,246,779,1558,2337,4674
Now, list down the factors of 3907
:1,3907
Greatest Common Factor
We found the factors 4674,3907 . The biggest common factor number is the GCF number.
So the greatest common factor 4674,3907 is 1.
Lets's calculate LCM of 429,4197
| 3 | 429, 4197 |
| 143, 1399 |
∴ So the LCM of the given numbers is 3 x 143 x 1399 = 600171
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/600171
Therefore, the GCF of Fractions 4674/429,3907/4197 is 1/600171
Least Common Multiple of 429,4197 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 429,4197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,4197) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(429,4197) x common factors =3 x 1 = 3
LCM(429,4197) = ( 429 × 4197 ) / 3
LCM(429,4197) = 1800513 / 3
LCM(429,4197) = 600171
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FAQs on GCF of Fractions of 4674/429, 3907/4197
1. What is the HCF of 4674,3907?
The HCF of 4674,3907 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 4674/429, 3907/4197?
Answer: GCF of Numerators as per given numbers 4674/429, 3907/4197 is
GCF of Numerators i.e. for 4674,3907 is 1
LCM of denominators i.e. for 429,4197 is 600171.
Thus, GCF of Fractions is 1/600171.Finally, GCF of Fractions for 4674/429, 3907/4197 is 1/600171.