GCF of 5294/180, 5027/214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5294/180, 5027/214 i.e 1/19260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5294/180, 5027/214.
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 5294/180,5027/214?
Given fractions are 5294/180,5027/214
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 5294/180,5027/214, numerators are 5294,5027
Denominators are 180,214
The GCF of 5294,5027 is 1 .
LCM of 180,214 is 19260.
The greatest common factor of 5294/180,5027/214 = [GCF of 5294,5027]/[LCM of 180,214]= 1/19260
Therefore, the GCF of 5294/180,5027/214 is 1/19260.
To find the highest common factor of 5294,5027, we have to find the factors of both numbers and list the highest common factor.
The factors of 5294 are 1, 2, 2647, 5294
The factors of 5027 are 1, 11, 457, 5027
The HCF of 5294,5027 is 1.
Lets's calculate GCF of 5294,5027
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5294,5027 By Matching Biggest Common Factor Method
Now, list down the factors of 5294
:1,2,2647,5294
Now, list down the factors of 5027
:1,11,457,5027
Greatest Common Factor
We found the factors 5294,5027 . The biggest common factor number is the GCF number.
So the greatest common factor 5294,5027 is 1.
Lets's calculate LCM of 180,214
| 2 | 180, 214 |
| 90, 107 |
∴ So the LCM of the given numbers is 2 x 90 x 107 = 19260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19260
Therefore, the GCF of Fractions 5294/180,5027/214 is 1/19260
Least Common Multiple of 180,214 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 180,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,214) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(180,214) x common factors =2 x 1 = 2
LCM(180,214) = ( 180 × 214 ) / 2
LCM(180,214) = 38520 / 2
LCM(180,214) = 19260
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FAQs on GCF of Fractions of 5294/180, 5027/214
1. What is the HCF of 5294,5027?
The HCF of 5294,5027 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 5294/180, 5027/214?
Answer: GCF of Numerators as per given numbers 5294/180, 5027/214 is
GCF of Numerators i.e. for 5294,5027 is 1
LCM of denominators i.e. for 180,214 is 19260.
Thus, GCF of Fractions is 1/19260.Finally, GCF of Fractions for 5294/180, 5027/214 is 1/19260.