GCF of 5494/270, 8358/756
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5494/270, 8358/756 i.e 2/3780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5494/270, 8358/756.
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 5494/270,8358/756?
Given fractions are 5494/270,8358/756
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 5494/270,8358/756, numerators are 5494,8358
Denominators are 270,756
The GCF of 5494,8358 is 2 .
LCM of 270,756 is 3780.
The greatest common factor of 5494/270,8358/756 = [GCF of 5494,8358]/[LCM of 270,756]= 2/3780
Therefore, the GCF of 5494/270,8358/756 is 2/3780.
To find the highest common factor of 5494,8358, we have to find the factors of both numbers and list the highest common factor.
The factors of 5494 are 1, 2, 41, 67, 82, 134, 2747, 5494
The factors of 8358 are 1, 2, 3, 6, 7, 14, 21, 42, 199, 398, 597, 1194, 1393, 2786, 4179, 8358
The HCF of 5494,8358 is 2.
Lets's calculate GCF of 5494,8358
| 2 | 5494, 8358 |
| 2747, 4179 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5494,8358 By Matching Biggest Common Factor Method
Now, list down the factors of 5494
:1,2,41,67,82,134,2747,5494
Now, list down the factors of 8358
:1,2,3,6,7,14,21,42,199,398,597,1194,1393,2786,4179,8358
Greatest Common Factor
We found the factors 5494,8358 . The biggest common factor number is the GCF number.
So the greatest common factor 5494,8358 is 2.
Lets's calculate LCM of 270,756
| 2 | 270, 756 |
| 3 | 135, 378 |
| 3 | 45, 126 |
| 3 | 15, 42 |
| 5, 14 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 5 x 14 = 3780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3780
Therefore, the GCF of Fractions 5494/270,8358/756 is 2/3780
Least Common Multiple of 270,756 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 270,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,756) = 54
common factors(in case of two or more numbers have common factors) = 1
GCF(270,756) x common factors =54 x 1 = 54
LCM(270,756) = ( 270 × 756 ) / 54
LCM(270,756) = 204120 / 54
LCM(270,756) = 3780
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FAQs on GCF of Fractions of 5494/270, 8358/756
1. What is the HCF of 5494,8358?
The HCF of 5494,8358 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 5494/270, 8358/756?
Answer: GCF of Numerators as per given numbers 5494/270, 8358/756 is
GCF of Numerators i.e. for 5494,8358 is 2
LCM of denominators i.e. for 270,756 is 3780.
Thus, GCF of Fractions is 2/3780.Finally, GCF of Fractions for 5494/270, 8358/756 is 2/3780.