GCF of 622/60, 314/1269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 622/60, 314/1269 i.e 2/25380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 622/60, 314/1269.
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 622/60,314/1269?
Given fractions are 622/60,314/1269
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 622/60,314/1269, numerators are 622,314
Denominators are 60,1269
The GCF of 622,314 is 2 .
LCM of 60,1269 is 25380.
The greatest common factor of 622/60,314/1269 = [GCF of 622,314]/[LCM of 60,1269]= 2/25380
Therefore, the GCF of 622/60,314/1269 is 2/25380.
To find the highest common factor of 622,314, we have to find the factors of both numbers and list the highest common factor.
The factors of 622 are 1, 2, 311, 622
The factors of 314 are 1, 2, 157, 314
The HCF of 622,314 is 2.
Lets's calculate GCF of 622,314
| 2 | 622, 314 |
| 311, 157 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 622,314 By Matching Biggest Common Factor Method
Now, list down the factors of 622
:1,2,311,622
Now, list down the factors of 314
:1,2,157,314
Greatest Common Factor
We found the factors 622,314 . The biggest common factor number is the GCF number.
So the greatest common factor 622,314 is 2.
Lets's calculate LCM of 60,1269
| 3 | 60, 1269 |
| 20, 423 |
∴ So the LCM of the given numbers is 3 x 20 x 423 = 25380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25380
Therefore, the GCF of Fractions 622/60,314/1269 is 2/25380
Least Common Multiple of 60,1269 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 60,1269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,1269) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(60,1269) x common factors =3 x 1 = 3
LCM(60,1269) = ( 60 × 1269 ) / 3
LCM(60,1269) = 76140 / 3
LCM(60,1269) = 25380
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 622/60, 314/1269
1. What is the HCF of 622,314?
The HCF of 622,314 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 622/60, 314/1269?
Answer: GCF of Numerators as per given numbers 622/60, 314/1269 is
GCF of Numerators i.e. for 622,314 is 2
LCM of denominators i.e. for 60,1269 is 25380.
Thus, GCF of Fractions is 2/25380.Finally, GCF of Fractions for 622/60, 314/1269 is 2/25380.