GCF of 5342/350, 9870/545
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5342/350, 9870/545 i.e 2/38150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5342/350, 9870/545.
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 5342/350,9870/545?
Given fractions are 5342/350,9870/545
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 5342/350,9870/545, numerators are 5342,9870
Denominators are 350,545
The GCF of 5342,9870 is 2 .
LCM of 350,545 is 38150.
The greatest common factor of 5342/350,9870/545 = [GCF of 5342,9870]/[LCM of 350,545]= 2/38150
Therefore, the GCF of 5342/350,9870/545 is 2/38150.
To find the highest common factor of 5342,9870, we have to find the factors of both numbers and list the highest common factor.
The factors of 5342 are 1, 2, 2671, 5342
The factors of 9870 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 47, 70, 94, 105, 141, 210, 235, 282, 329, 470, 658, 705, 987, 1410, 1645, 1974, 3290, 4935, 9870
The HCF of 5342,9870 is 2.
Lets's calculate GCF of 5342,9870
| 2 | 5342, 9870 |
| 2671, 4935 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5342,9870 By Matching Biggest Common Factor Method
Now, list down the factors of 5342
:1,2,2671,5342
Now, list down the factors of 9870
:1,2,3,5,6,7,10,14,15,21,30,35,42,47,70,94,105,141,210,235,282,329,470,658,705,987,1410,1645,1974,3290,4935,9870
Greatest Common Factor
We found the factors 5342,9870 . The biggest common factor number is the GCF number.
So the greatest common factor 5342,9870 is 2.
Lets's calculate LCM of 350,545
| 5 | 350, 545 |
| 70, 109 |
∴ So the LCM of the given numbers is 5 x 70 x 109 = 38150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38150
Therefore, the GCF of Fractions 5342/350,9870/545 is 2/38150
Least Common Multiple of 350,545 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 350,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,545) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(350,545) x common factors =5 x 1 = 5
LCM(350,545) = ( 350 × 545 ) / 5
LCM(350,545) = 190750 / 5
LCM(350,545) = 38150
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5342/350, 9870/545
1. What is the HCF of 5342,9870?
The HCF of 5342,9870 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 5342/350, 9870/545?
Answer: GCF of Numerators as per given numbers 5342/350, 9870/545 is
GCF of Numerators i.e. for 5342,9870 is 2
LCM of denominators i.e. for 350,545 is 38150.
Thus, GCF of Fractions is 2/38150.Finally, GCF of Fractions for 5342/350, 9870/545 is 2/38150.