GCF of 1568/722, 8074/5228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1568/722, 8074/5228 i.e 2/1887308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1568/722, 8074/5228.
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 1568/722,8074/5228?
Given fractions are 1568/722,8074/5228
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 1568/722,8074/5228, numerators are 1568,8074
Denominators are 722,5228
The GCF of 1568,8074 is 2 .
LCM of 722,5228 is 1887308.
The greatest common factor of 1568/722,8074/5228 = [GCF of 1568,8074]/[LCM of 722,5228]= 2/1887308
Therefore, the GCF of 1568/722,8074/5228 is 2/1887308.
To find the highest common factor of 1568,8074, we have to find the factors of both numbers and list the highest common factor.
The factors of 1568 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 392, 784, 1568
The factors of 8074 are 1, 2, 11, 22, 367, 734, 4037, 8074
The HCF of 1568,8074 is 2.
Lets's calculate GCF of 1568,8074
| 2 | 1568, 8074 |
| 784, 4037 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1568,8074 By Matching Biggest Common Factor Method
Now, list down the factors of 1568
:1,2,4,7,8,14,16,28,32,49,56,98,112,196,224,392,784,1568
Now, list down the factors of 8074
:1,2,11,22,367,734,4037,8074
Greatest Common Factor
We found the factors 1568,8074 . The biggest common factor number is the GCF number.
So the greatest common factor 1568,8074 is 2.
Lets's calculate LCM of 722,5228
| 2 | 722, 5228 |
| 361, 2614 |
∴ So the LCM of the given numbers is 2 x 361 x 2614 = 1887308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1887308
Therefore, the GCF of Fractions 1568/722,8074/5228 is 2/1887308
Least Common Multiple of 722,5228 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 722,5228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,5228) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,5228) x common factors =2 x 1 = 2
LCM(722,5228) = ( 722 × 5228 ) / 2
LCM(722,5228) = 3774616 / 2
LCM(722,5228) = 1887308
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FAQs on GCF of Fractions of 1568/722, 8074/5228
1. What is the HCF of 1568,8074?
The HCF of 1568,8074 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 1568/722, 8074/5228?
Answer: GCF of Numerators as per given numbers 1568/722, 8074/5228 is
GCF of Numerators i.e. for 1568,8074 is 2
LCM of denominators i.e. for 722,5228 is 1887308.
Thus, GCF of Fractions is 2/1887308.Finally, GCF of Fractions for 1568/722, 8074/5228 is 2/1887308.