GCF of 5268/334, 2553/1042
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5268/334, 2553/1042 i.e 3/174014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5268/334, 2553/1042.
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 5268/334,2553/1042?
Given fractions are 5268/334,2553/1042
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 5268/334,2553/1042, numerators are 5268,2553
Denominators are 334,1042
The GCF of 5268,2553 is 3 .
LCM of 334,1042 is 174014.
The greatest common factor of 5268/334,2553/1042 = [GCF of 5268,2553]/[LCM of 334,1042]= 3/174014
Therefore, the GCF of 5268/334,2553/1042 is 3/174014.
To find the highest common factor of 5268,2553, we have to find the factors of both numbers and list the highest common factor.
The factors of 5268 are 1, 2, 3, 4, 6, 12, 439, 878, 1317, 1756, 2634, 5268
The factors of 2553 are 1, 3, 23, 37, 69, 111, 851, 2553
The HCF of 5268,2553 is 3.
Lets's calculate GCF of 5268,2553
| 3 | 5268, 2553 |
| 1756, 851 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5268,2553 By Matching Biggest Common Factor Method
Now, list down the factors of 5268
:1,2,3,4,6,12,439,878,1317,1756,2634,5268
Now, list down the factors of 2553
:1,3,23,37,69,111,851,2553
Greatest Common Factor
We found the factors 5268,2553 . The biggest common factor number is the GCF number.
So the greatest common factor 5268,2553 is 3.
Lets's calculate LCM of 334,1042
| 2 | 334, 1042 |
| 167, 521 |
∴ So the LCM of the given numbers is 2 x 167 x 521 = 174014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/174014
Therefore, the GCF of Fractions 5268/334,2553/1042 is 3/174014
Least Common Multiple of 334,1042 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 334,1042 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,1042) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(334,1042) x common factors =2 x 1 = 2
LCM(334,1042) = ( 334 × 1042 ) / 2
LCM(334,1042) = 348028 / 2
LCM(334,1042) = 174014
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5268/334, 2553/1042
1. What is the HCF of 5268,2553?
The HCF of 5268,2553 is 3
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 5268/334, 2553/1042?
Answer: GCF of Numerators as per given numbers 5268/334, 2553/1042 is
GCF of Numerators i.e. for 5268,2553 is 3
LCM of denominators i.e. for 334,1042 is 174014.
Thus, GCF of Fractions is 3/174014.Finally, GCF of Fractions for 5268/334, 2553/1042 is 3/174014.