GCF of 5069/204, 7038/2276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5069/204, 7038/2276 i.e 1/116076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5069/204, 7038/2276.
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 5069/204,7038/2276?
Given fractions are 5069/204,7038/2276
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 5069/204,7038/2276, numerators are 5069,7038
Denominators are 204,2276
The GCF of 5069,7038 is 1 .
LCM of 204,2276 is 116076.
The greatest common factor of 5069/204,7038/2276 = [GCF of 5069,7038]/[LCM of 204,2276]= 1/116076
Therefore, the GCF of 5069/204,7038/2276 is 1/116076.
To find the highest common factor of 5069,7038, we have to find the factors of both numbers and list the highest common factor.
The factors of 5069 are 1, 37, 137, 5069
The factors of 7038 are 1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038
The HCF of 5069,7038 is 1.
Lets's calculate GCF of 5069,7038
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5069,7038 By Matching Biggest Common Factor Method
Now, list down the factors of 5069
:1,37,137,5069
Now, list down the factors of 7038
:1,2,3,6,9,17,18,23,34,46,51,69,102,138,153,207,306,391,414,782,1173,2346,3519,7038
Greatest Common Factor
We found the factors 5069,7038 . The biggest common factor number is the GCF number.
So the greatest common factor 5069,7038 is 1.
Lets's calculate LCM of 204,2276
| 2 | 204, 2276 |
| 2 | 102, 1138 |
| 51, 569 |
∴ So the LCM of the given numbers is 2 x 2 x 51 x 569 = 116076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116076
Therefore, the GCF of Fractions 5069/204,7038/2276 is 1/116076
Least Common Multiple of 204,2276 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 204,2276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,2276) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(204,2276) x common factors =4 x 1 = 4
LCM(204,2276) = ( 204 × 2276 ) / 4
LCM(204,2276) = 464304 / 4
LCM(204,2276) = 116076
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FAQs on GCF of Fractions of 5069/204, 7038/2276
1. What is the HCF of 5069,7038?
The HCF of 5069,7038 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 5069/204, 7038/2276?
Answer: GCF of Numerators as per given numbers 5069/204, 7038/2276 is
GCF of Numerators i.e. for 5069,7038 is 1
LCM of denominators i.e. for 204,2276 is 116076.
Thus, GCF of Fractions is 1/116076.Finally, GCF of Fractions for 5069/204, 7038/2276 is 1/116076.