GCF of 6254/927, 2925/5454
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6254/927, 2925/5454 i.e 1/561762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6254/927, 2925/5454.
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 6254/927,2925/5454?
Given fractions are 6254/927,2925/5454
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 6254/927,2925/5454, numerators are 6254,2925
Denominators are 927,5454
The GCF of 6254,2925 is 1 .
LCM of 927,5454 is 561762.
The greatest common factor of 6254/927,2925/5454 = [GCF of 6254,2925]/[LCM of 927,5454]= 1/561762
Therefore, the GCF of 6254/927,2925/5454 is 1/561762.
To find the highest common factor of 6254,2925, we have to find the factors of both numbers and list the highest common factor.
The factors of 6254 are 1, 2, 53, 59, 106, 118, 3127, 6254
The factors of 2925 are 1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 195, 225, 325, 585, 975, 2925
The HCF of 6254,2925 is 1.
Lets's calculate GCF of 6254,2925
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6254,2925 By Matching Biggest Common Factor Method
Now, list down the factors of 6254
:1,2,53,59,106,118,3127,6254
Now, list down the factors of 2925
:1,3,5,9,13,15,25,39,45,65,75,117,195,225,325,585,975,2925
Greatest Common Factor
We found the factors 6254,2925 . The biggest common factor number is the GCF number.
So the greatest common factor 6254,2925 is 1.
Lets's calculate LCM of 927,5454
| 3 | 927, 5454 |
| 3 | 309, 1818 |
| 103, 606 |
∴ So the LCM of the given numbers is 3 x 3 x 103 x 606 = 561762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/561762
Therefore, the GCF of Fractions 6254/927,2925/5454 is 1/561762
Least Common Multiple of 927,5454 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 927,5454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,5454) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(927,5454) x common factors =9 x 1 = 9
LCM(927,5454) = ( 927 × 5454 ) / 9
LCM(927,5454) = 5055858 / 9
LCM(927,5454) = 561762
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FAQs on GCF of Fractions of 6254/927, 2925/5454
1. What is the HCF of 6254,2925?
The HCF of 6254,2925 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 6254/927, 2925/5454?
Answer: GCF of Numerators as per given numbers 6254/927, 2925/5454 is
GCF of Numerators i.e. for 6254,2925 is 1
LCM of denominators i.e. for 927,5454 is 561762.
Thus, GCF of Fractions is 1/561762.Finally, GCF of Fractions for 6254/927, 2925/5454 is 1/561762.