GCF of 6914/427, 9038/2195
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6914/427, 9038/2195 i.e 2/937265 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6914/427, 9038/2195.
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 6914/427,9038/2195?
Given fractions are 6914/427,9038/2195
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 6914/427,9038/2195, numerators are 6914,9038
Denominators are 427,2195
The GCF of 6914,9038 is 2 .
LCM of 427,2195 is 937265.
The greatest common factor of 6914/427,9038/2195 = [GCF of 6914,9038]/[LCM of 427,2195]= 2/937265
Therefore, the GCF of 6914/427,9038/2195 is 2/937265.
To find the highest common factor of 6914,9038, we have to find the factors of both numbers and list the highest common factor.
The factors of 6914 are 1, 2, 3457, 6914
The factors of 9038 are 1, 2, 4519, 9038
The HCF of 6914,9038 is 2.
Lets's calculate GCF of 6914,9038
| 2 | 6914, 9038 |
| 3457, 4519 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6914,9038 By Matching Biggest Common Factor Method
Now, list down the factors of 6914
:1,2,3457,6914
Now, list down the factors of 9038
:1,2,4519,9038
Greatest Common Factor
We found the factors 6914,9038 . The biggest common factor number is the GCF number.
So the greatest common factor 6914,9038 is 2.
Lets's calculate LCM of 427,2195
Given numbers has no common factors except 1. So, there LCM is their product i.e 937265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/937265
Therefore, the GCF of Fractions 6914/427,9038/2195 is 2/937265
Least Common Multiple of 427,2195 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 427,2195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,2195) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,2195) x common factors =1 x 1 = 1
LCM(427,2195) = ( 427 × 2195 ) / 1
LCM(427,2195) = 937265 / 1
LCM(427,2195) = 937265
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FAQs on GCF of Fractions of 6914/427, 9038/2195
1. What is the HCF of 6914,9038?
The HCF of 6914,9038 is 2
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 6914/427, 9038/2195?
Answer: GCF of Numerators as per given numbers 6914/427, 9038/2195 is
GCF of Numerators i.e. for 6914,9038 is 2
LCM of denominators i.e. for 427,2195 is 937265.
Thus, GCF of Fractions is 2/937265.Finally, GCF of Fractions for 6914/427, 9038/2195 is 2/937265.