GCF of 1568/414, 6707/5434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1568/414, 6707/5434 i.e 1/1124838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1568/414, 6707/5434.
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 1568/414,6707/5434?
Given fractions are 1568/414,6707/5434
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 1568/414,6707/5434, numerators are 1568,6707
Denominators are 414,5434
The GCF of 1568,6707 is 1 .
LCM of 414,5434 is 1124838.
The greatest common factor of 1568/414,6707/5434 = [GCF of 1568,6707]/[LCM of 414,5434]= 1/1124838
Therefore, the GCF of 1568/414,6707/5434 is 1/1124838.
To find the highest common factor of 1568,6707, 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 6707 are 1, 19, 353, 6707
The HCF of 1568,6707 is 1.
Lets's calculate GCF of 1568,6707
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1568,6707 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 6707
:1,19,353,6707
Greatest Common Factor
We found the factors 1568,6707 . The biggest common factor number is the GCF number.
So the greatest common factor 1568,6707 is 1.
Lets's calculate LCM of 414,5434
| 2 | 414, 5434 |
| 207, 2717 |
∴ So the LCM of the given numbers is 2 x 207 x 2717 = 1124838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1124838
Therefore, the GCF of Fractions 1568/414,6707/5434 is 1/1124838
Least Common Multiple of 414,5434 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 414,5434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,5434) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,5434) x common factors =2 x 1 = 2
LCM(414,5434) = ( 414 × 5434 ) / 2
LCM(414,5434) = 2249676 / 2
LCM(414,5434) = 1124838
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FAQs on GCF of Fractions of 1568/414, 6707/5434
1. What is the HCF of 1568,6707?
The HCF of 1568,6707 is 1
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 1568/414, 6707/5434?
Answer: GCF of Numerators as per given numbers 1568/414, 6707/5434 is
GCF of Numerators i.e. for 1568,6707 is 1
LCM of denominators i.e. for 414,5434 is 1124838.
Thus, GCF of Fractions is 1/1124838.Finally, GCF of Fractions for 1568/414, 6707/5434 is 1/1124838.