GCF of 6647/608, 5360/1402
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6647/608, 5360/1402 i.e 1/426208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6647/608, 5360/1402.
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 6647/608,5360/1402?
Given fractions are 6647/608,5360/1402
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 6647/608,5360/1402, numerators are 6647,5360
Denominators are 608,1402
The GCF of 6647,5360 is 1 .
LCM of 608,1402 is 426208.
The greatest common factor of 6647/608,5360/1402 = [GCF of 6647,5360]/[LCM of 608,1402]= 1/426208
Therefore, the GCF of 6647/608,5360/1402 is 1/426208.
To find the highest common factor of 6647,5360, we have to find the factors of both numbers and list the highest common factor.
The factors of 6647 are 1, 17, 23, 289, 391, 6647
The factors of 5360 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 67, 80, 134, 268, 335, 536, 670, 1072, 1340, 2680, 5360
The HCF of 6647,5360 is 1.
Lets's calculate GCF of 6647,5360
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6647,5360 By Matching Biggest Common Factor Method
Now, list down the factors of 6647
:1,17,23,289,391,6647
Now, list down the factors of 5360
:1,2,4,5,8,10,16,20,40,67,80,134,268,335,536,670,1072,1340,2680,5360
Greatest Common Factor
We found the factors 6647,5360 . The biggest common factor number is the GCF number.
So the greatest common factor 6647,5360 is 1.
Lets's calculate LCM of 608,1402
| 2 | 608, 1402 |
| 304, 701 |
∴ So the LCM of the given numbers is 2 x 304 x 701 = 426208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/426208
Therefore, the GCF of Fractions 6647/608,5360/1402 is 1/426208
Least Common Multiple of 608,1402 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 608,1402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,1402) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(608,1402) x common factors =2 x 1 = 2
LCM(608,1402) = ( 608 × 1402 ) / 2
LCM(608,1402) = 852416 / 2
LCM(608,1402) = 426208
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FAQs on GCF of Fractions of 6647/608, 5360/1402
1. What is the HCF of 6647,5360?
The HCF of 6647,5360 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 6647/608, 5360/1402?
Answer: GCF of Numerators as per given numbers 6647/608, 5360/1402 is
GCF of Numerators i.e. for 6647,5360 is 1
LCM of denominators i.e. for 608,1402 is 426208.
Thus, GCF of Fractions is 1/426208.Finally, GCF of Fractions for 6647/608, 5360/1402 is 1/426208.