GCF of 7400/827, 2650/3213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7400/827, 2650/3213 i.e 50/2657151 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7400/827, 2650/3213.
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 7400/827,2650/3213?
Given fractions are 7400/827,2650/3213
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 7400/827,2650/3213, numerators are 7400,2650
Denominators are 827,3213
The GCF of 7400,2650 is 50 .
LCM of 827,3213 is 2657151.
The greatest common factor of 7400/827,2650/3213 = [GCF of 7400,2650]/[LCM of 827,3213]= 50/2657151
Therefore, the GCF of 7400/827,2650/3213 is 50/2657151.
To find the highest common factor of 7400,2650, we have to find the factors of both numbers and list the highest common factor.
The factors of 7400 are 1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200, 296, 370, 740, 925, 1480, 1850, 3700, 7400
The factors of 2650 are 1, 2, 5, 10, 25, 50, 53, 106, 265, 530, 1325, 2650
The HCF of 7400,2650 is 50.
Lets's calculate GCF of 7400,2650
| 2 | 7400, 2650 |
| 5 | 3700, 1325 |
| 5 | 740, 265 |
| 148, 53 |
∴ So the GCF of the given numbers is 2 x 5 x 5 = 50
Greatest Common Factor of 7400,2650 By Matching Biggest Common Factor Method
Now, list down the factors of 7400
:1,2,4,5,8,10,20,25,37,40,50,74,100,148,185,200,296,370,740,925,1480,1850,3700,7400
Now, list down the factors of 2650
:1,2,5,10,25,50,53,106,265,530,1325,2650
Greatest Common Factor
We found the factors 7400,2650 . The biggest common factor number is the GCF number.
So the greatest common factor 7400,2650 is 50.
Lets's calculate LCM of 827,3213
Given numbers has no common factors except 1. So, there LCM is their product i.e 2657151
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/2657151
Therefore, the GCF of Fractions 7400/827,2650/3213 is 50/2657151
Least Common Multiple of 827,3213 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 827,3213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,3213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,3213) x common factors =1 x 1 = 1
LCM(827,3213) = ( 827 × 3213 ) / 1
LCM(827,3213) = 2657151 / 1
LCM(827,3213) = 2657151
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FAQs on GCF of Fractions of 7400/827, 2650/3213
1. What is the HCF of 7400,2650?
The HCF of 7400,2650 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 7400/827, 2650/3213?
Answer: GCF of Numerators as per given numbers 7400/827, 2650/3213 is
GCF of Numerators i.e. for 7400,2650 is 50
LCM of denominators i.e. for 827,3213 is 2657151.
Thus, GCF of Fractions is 50/2657151.Finally, GCF of Fractions for 7400/827, 2650/3213 is 50/2657151.