GCF of 7024/274, 8574/6188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7024/274, 8574/6188 i.e 2/847756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7024/274, 8574/6188.
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 7024/274,8574/6188?
Given fractions are 7024/274,8574/6188
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 7024/274,8574/6188, numerators are 7024,8574
Denominators are 274,6188
The GCF of 7024,8574 is 2 .
LCM of 274,6188 is 847756.
The greatest common factor of 7024/274,8574/6188 = [GCF of 7024,8574]/[LCM of 274,6188]= 2/847756
Therefore, the GCF of 7024/274,8574/6188 is 2/847756.
To find the highest common factor of 7024,8574, we have to find the factors of both numbers and list the highest common factor.
The factors of 7024 are 1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024
The factors of 8574 are 1, 2, 3, 6, 1429, 2858, 4287, 8574
The HCF of 7024,8574 is 2.
Lets's calculate GCF of 7024,8574
| 2 | 7024, 8574 |
| 3512, 4287 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7024,8574 By Matching Biggest Common Factor Method
Now, list down the factors of 7024
:1,2,4,8,16,439,878,1756,3512,7024
Now, list down the factors of 8574
:1,2,3,6,1429,2858,4287,8574
Greatest Common Factor
We found the factors 7024,8574 . The biggest common factor number is the GCF number.
So the greatest common factor 7024,8574 is 2.
Lets's calculate LCM of 274,6188
| 2 | 274, 6188 |
| 137, 3094 |
∴ So the LCM of the given numbers is 2 x 137 x 3094 = 847756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/847756
Therefore, the GCF of Fractions 7024/274,8574/6188 is 2/847756
Least Common Multiple of 274,6188 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 274,6188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,6188) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(274,6188) x common factors =2 x 1 = 2
LCM(274,6188) = ( 274 × 6188 ) / 2
LCM(274,6188) = 1695512 / 2
LCM(274,6188) = 847756
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FAQs on GCF of Fractions of 7024/274, 8574/6188
1. What is the HCF of 7024,8574?
The HCF of 7024,8574 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 7024/274, 8574/6188?
Answer: GCF of Numerators as per given numbers 7024/274, 8574/6188 is
GCF of Numerators i.e. for 7024,8574 is 2
LCM of denominators i.e. for 274,6188 is 847756.
Thus, GCF of Fractions is 2/847756.Finally, GCF of Fractions for 7024/274, 8574/6188 is 2/847756.