GCF of 4674/13, 4294/101
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4674/13, 4294/101 i.e 38/1313 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4674/13, 4294/101.
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 4674/13,4294/101?
Given fractions are 4674/13,4294/101
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 4674/13,4294/101, numerators are 4674,4294
Denominators are 13,101
The GCF of 4674,4294 is 38 .
LCM of 13,101 is 1313.
The greatest common factor of 4674/13,4294/101 = [GCF of 4674,4294]/[LCM of 13,101]= 38/1313
Therefore, the GCF of 4674/13,4294/101 is 38/1313.
To find the highest common factor of 4674,4294, 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 4294 are 1, 2, 19, 38, 113, 226, 2147, 4294
The HCF of 4674,4294 is 38.
Lets's calculate GCF of 4674,4294
| 2 | 4674, 4294 |
| 19 | 2337, 2147 |
| 123, 113 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 4674,4294 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 4294
:1,2,19,38,113,226,2147,4294
Greatest Common Factor
We found the factors 4674,4294 . The biggest common factor number is the GCF number.
So the greatest common factor 4674,4294 is 38.
Lets's calculate LCM of 13,101
Given numbers has no common factors except 1. So, there LCM is their product i.e 1313
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/1313
Therefore, the GCF of Fractions 4674/13,4294/101 is 38/1313
Least Common Multiple of 13,101 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 13,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,101) x common factors =1 x 1 = 1
LCM(13,101) = ( 13 × 101 ) / 1
LCM(13,101) = 1313 / 1
LCM(13,101) = 1313
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FAQs on GCF of Fractions of 4674/13, 4294/101
1. What is the HCF of 4674,4294?
The HCF of 4674,4294 is 38
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 4674/13, 4294/101?
Answer: GCF of Numerators as per given numbers 4674/13, 4294/101 is
GCF of Numerators i.e. for 4674,4294 is 38
LCM of denominators i.e. for 13,101 is 1313.
Thus, GCF of Fractions is 38/1313.Finally, GCF of Fractions for 4674/13, 4294/101 is 38/1313.