GCF of 7274/314, 5220/1878
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7274/314, 5220/1878 i.e 2/294846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7274/314, 5220/1878.
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 7274/314,5220/1878?
Given fractions are 7274/314,5220/1878
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 7274/314,5220/1878, numerators are 7274,5220
Denominators are 314,1878
The GCF of 7274,5220 is 2 .
LCM of 314,1878 is 294846.
The greatest common factor of 7274/314,5220/1878 = [GCF of 7274,5220]/[LCM of 314,1878]= 2/294846
Therefore, the GCF of 7274/314,5220/1878 is 2/294846.
To find the highest common factor of 7274,5220, we have to find the factors of both numbers and list the highest common factor.
The factors of 7274 are 1, 2, 3637, 7274
The factors of 5220 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 29, 30, 36, 45, 58, 60, 87, 90, 116, 145, 174, 180, 261, 290, 348, 435, 522, 580, 870, 1044, 1305, 1740, 2610, 5220
The HCF of 7274,5220 is 2.
Lets's calculate GCF of 7274,5220
| 2 | 7274, 5220 |
| 3637, 2610 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7274,5220 By Matching Biggest Common Factor Method
Now, list down the factors of 7274
:1,2,3637,7274
Now, list down the factors of 5220
:1,2,3,4,5,6,9,10,12,15,18,20,29,30,36,45,58,60,87,90,116,145,174,180,261,290,348,435,522,580,870,1044,1305,1740,2610,5220
Greatest Common Factor
We found the factors 7274,5220 . The biggest common factor number is the GCF number.
So the greatest common factor 7274,5220 is 2.
Lets's calculate LCM of 314,1878
| 2 | 314, 1878 |
| 157, 939 |
∴ So the LCM of the given numbers is 2 x 157 x 939 = 294846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/294846
Therefore, the GCF of Fractions 7274/314,5220/1878 is 2/294846
Least Common Multiple of 314,1878 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 314,1878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,1878) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(314,1878) x common factors =2 x 1 = 2
LCM(314,1878) = ( 314 × 1878 ) / 2
LCM(314,1878) = 589692 / 2
LCM(314,1878) = 294846
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FAQs on GCF of Fractions of 7274/314, 5220/1878
1. What is the HCF of 7274,5220?
The HCF of 7274,5220 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 7274/314, 5220/1878?
Answer: GCF of Numerators as per given numbers 7274/314, 5220/1878 is
GCF of Numerators i.e. for 7274,5220 is 2
LCM of denominators i.e. for 314,1878 is 294846.
Thus, GCF of Fractions is 2/294846.Finally, GCF of Fractions for 7274/314, 5220/1878 is 2/294846.