GCF of 3396/268, 5527/708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3396/268, 5527/708 i.e 1/47436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3396/268, 5527/708.
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 3396/268,5527/708?
Given fractions are 3396/268,5527/708
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 3396/268,5527/708, numerators are 3396,5527
Denominators are 268,708
The GCF of 3396,5527 is 1 .
LCM of 268,708 is 47436.
The greatest common factor of 3396/268,5527/708 = [GCF of 3396,5527]/[LCM of 268,708]= 1/47436
Therefore, the GCF of 3396/268,5527/708 is 1/47436.
To find the highest common factor of 3396,5527, we have to find the factors of both numbers and list the highest common factor.
The factors of 3396 are 1, 2, 3, 4, 6, 12, 283, 566, 849, 1132, 1698, 3396
The factors of 5527 are 1, 5527
The HCF of 3396,5527 is 1.
Lets's calculate GCF of 3396,5527
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3396,5527 By Matching Biggest Common Factor Method
Now, list down the factors of 3396
:1,2,3,4,6,12,283,566,849,1132,1698,3396
Now, list down the factors of 5527
:1,5527
Greatest Common Factor
We found the factors 3396,5527 . The biggest common factor number is the GCF number.
So the greatest common factor 3396,5527 is 1.
Lets's calculate LCM of 268,708
| 2 | 268, 708 |
| 2 | 134, 354 |
| 67, 177 |
∴ So the LCM of the given numbers is 2 x 2 x 67 x 177 = 47436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47436
Therefore, the GCF of Fractions 3396/268,5527/708 is 1/47436
Least Common Multiple of 268,708 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 268,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,708) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(268,708) x common factors =4 x 1 = 4
LCM(268,708) = ( 268 × 708 ) / 4
LCM(268,708) = 189744 / 4
LCM(268,708) = 47436
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3396/268, 5527/708
1. What is the HCF of 3396,5527?
The HCF of 3396,5527 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 3396/268, 5527/708?
Answer: GCF of Numerators as per given numbers 3396/268, 5527/708 is
GCF of Numerators i.e. for 3396,5527 is 1
LCM of denominators i.e. for 268,708 is 47436.
Thus, GCF of Fractions is 1/47436.Finally, GCF of Fractions for 3396/268, 5527/708 is 1/47436.