GCF of 7468/574, 1214/8474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7468/574, 1214/8474 i.e 2/2432038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7468/574, 1214/8474.
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 7468/574,1214/8474?
Given fractions are 7468/574,1214/8474
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 7468/574,1214/8474, numerators are 7468,1214
Denominators are 574,8474
The GCF of 7468,1214 is 2 .
LCM of 574,8474 is 2432038.
The greatest common factor of 7468/574,1214/8474 = [GCF of 7468,1214]/[LCM of 574,8474]= 2/2432038
Therefore, the GCF of 7468/574,1214/8474 is 2/2432038.
To find the highest common factor of 7468,1214, we have to find the factors of both numbers and list the highest common factor.
The factors of 7468 are 1, 2, 4, 1867, 3734, 7468
The factors of 1214 are 1, 2, 607, 1214
The HCF of 7468,1214 is 2.
Lets's calculate GCF of 7468,1214
| 2 | 7468, 1214 |
| 3734, 607 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7468,1214 By Matching Biggest Common Factor Method
Now, list down the factors of 7468
:1,2,4,1867,3734,7468
Now, list down the factors of 1214
:1,2,607,1214
Greatest Common Factor
We found the factors 7468,1214 . The biggest common factor number is the GCF number.
So the greatest common factor 7468,1214 is 2.
Lets's calculate LCM of 574,8474
| 2 | 574, 8474 |
| 287, 4237 |
∴ So the LCM of the given numbers is 2 x 287 x 4237 = 2432038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2432038
Therefore, the GCF of Fractions 7468/574,1214/8474 is 2/2432038
Least Common Multiple of 574,8474 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 574,8474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,8474) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(574,8474) x common factors =2 x 1 = 2
LCM(574,8474) = ( 574 × 8474 ) / 2
LCM(574,8474) = 4864076 / 2
LCM(574,8474) = 2432038
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FAQs on GCF of Fractions of 7468/574, 1214/8474
1. What is the HCF of 7468,1214?
The HCF of 7468,1214 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 7468/574, 1214/8474?
Answer: GCF of Numerators as per given numbers 7468/574, 1214/8474 is
GCF of Numerators i.e. for 7468,1214 is 2
LCM of denominators i.e. for 574,8474 is 2432038.
Thus, GCF of Fractions is 2/2432038.Finally, GCF of Fractions for 7468/574, 1214/8474 is 2/2432038.