GCF of 2450/270, 6900/531
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2450/270, 6900/531 i.e 50/15930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2450/270, 6900/531.
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 2450/270,6900/531?
Given fractions are 2450/270,6900/531
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 2450/270,6900/531, numerators are 2450,6900
Denominators are 270,531
The GCF of 2450,6900 is 50 .
LCM of 270,531 is 15930.
The greatest common factor of 2450/270,6900/531 = [GCF of 2450,6900]/[LCM of 270,531]= 50/15930
Therefore, the GCF of 2450/270,6900/531 is 50/15930.
To find the highest common factor of 2450,6900, we have to find the factors of both numbers and list the highest common factor.
The factors of 2450 are 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450
The factors of 6900 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450, 6900
The HCF of 2450,6900 is 50.
Lets's calculate GCF of 2450,6900
| 2 | 2450, 6900 |
| 5 | 1225, 3450 |
| 5 | 245, 690 |
| 49, 138 |
∴ So the GCF of the given numbers is 2 x 5 x 5 = 50
Greatest Common Factor of 2450,6900 By Matching Biggest Common Factor Method
Now, list down the factors of 2450
:1,2,5,7,10,14,25,35,49,50,70,98,175,245,350,490,1225,2450
Now, list down the factors of 6900
:1,2,3,4,5,6,10,12,15,20,23,25,30,46,50,60,69,75,92,100,115,138,150,230,276,300,345,460,575,690,1150,1380,1725,2300,3450,6900
Greatest Common Factor
We found the factors 2450,6900 . The biggest common factor number is the GCF number.
So the greatest common factor 2450,6900 is 50.
Lets's calculate LCM of 270,531
| 3 | 270, 531 |
| 3 | 90, 177 |
| 30, 59 |
∴ So the LCM of the given numbers is 3 x 3 x 30 x 59 = 15930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/15930
Therefore, the GCF of Fractions 2450/270,6900/531 is 50/15930
Least Common Multiple of 270,531 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 270,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,531) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(270,531) x common factors =9 x 1 = 9
LCM(270,531) = ( 270 × 531 ) / 9
LCM(270,531) = 143370 / 9
LCM(270,531) = 15930
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FAQs on GCF of Fractions of 2450/270, 6900/531
1. What is the HCF of 2450,6900?
The HCF of 2450,6900 is 50
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 2450/270, 6900/531?
Answer: GCF of Numerators as per given numbers 2450/270, 6900/531 is
GCF of Numerators i.e. for 2450,6900 is 50
LCM of denominators i.e. for 270,531 is 15930.
Thus, GCF of Fractions is 50/15930.Finally, GCF of Fractions for 2450/270, 6900/531 is 50/15930.