GCF of 5052/208, 8742/340
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5052/208, 8742/340 i.e 6/17680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5052/208, 8742/340.
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 5052/208,8742/340?
Given fractions are 5052/208,8742/340
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 5052/208,8742/340, numerators are 5052,8742
Denominators are 208,340
The GCF of 5052,8742 is 6 .
LCM of 208,340 is 17680.
The greatest common factor of 5052/208,8742/340 = [GCF of 5052,8742]/[LCM of 208,340]= 6/17680
Therefore, the GCF of 5052/208,8742/340 is 6/17680.
To find the highest common factor of 5052,8742, we have to find the factors of both numbers and list the highest common factor.
The factors of 5052 are 1, 2, 3, 4, 6, 12, 421, 842, 1263, 1684, 2526, 5052
The factors of 8742 are 1, 2, 3, 6, 31, 47, 62, 93, 94, 141, 186, 282, 1457, 2914, 4371, 8742
The HCF of 5052,8742 is 6.
Lets's calculate GCF of 5052,8742
| 2 | 5052, 8742 |
| 3 | 2526, 4371 |
| 842, 1457 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5052,8742 By Matching Biggest Common Factor Method
Now, list down the factors of 5052
:1,2,3,4,6,12,421,842,1263,1684,2526,5052
Now, list down the factors of 8742
:1,2,3,6,31,47,62,93,94,141,186,282,1457,2914,4371,8742
Greatest Common Factor
We found the factors 5052,8742 . The biggest common factor number is the GCF number.
So the greatest common factor 5052,8742 is 6.
Lets's calculate LCM of 208,340
| 2 | 208, 340 |
| 2 | 104, 170 |
| 52, 85 |
∴ So the LCM of the given numbers is 2 x 2 x 52 x 85 = 17680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/17680
Therefore, the GCF of Fractions 5052/208,8742/340 is 6/17680
Least Common Multiple of 208,340 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 208,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,340) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(208,340) x common factors =4 x 1 = 4
LCM(208,340) = ( 208 × 340 ) / 4
LCM(208,340) = 70720 / 4
LCM(208,340) = 17680
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5052/208, 8742/340
1. What is the HCF of 5052,8742?
The HCF of 5052,8742 is 6
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 5052/208, 8742/340?
Answer: GCF of Numerators as per given numbers 5052/208, 8742/340 is
GCF of Numerators i.e. for 5052,8742 is 6
LCM of denominators i.e. for 208,340 is 17680.
Thus, GCF of Fractions is 6/17680.Finally, GCF of Fractions for 5052/208, 8742/340 is 6/17680.