GCF of 5407/352, 3302/558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5407/352, 3302/558 i.e 1/98208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5407/352, 3302/558.
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 5407/352,3302/558?
Given fractions are 5407/352,3302/558
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 5407/352,3302/558, numerators are 5407,3302
Denominators are 352,558
The GCF of 5407,3302 is 1 .
LCM of 352,558 is 98208.
The greatest common factor of 5407/352,3302/558 = [GCF of 5407,3302]/[LCM of 352,558]= 1/98208
Therefore, the GCF of 5407/352,3302/558 is 1/98208.
To find the highest common factor of 5407,3302, we have to find the factors of both numbers and list the highest common factor.
The factors of 5407 are 1, 5407
The factors of 3302 are 1, 2, 13, 26, 127, 254, 1651, 3302
The HCF of 5407,3302 is 1.
Lets's calculate GCF of 5407,3302
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5407,3302 By Matching Biggest Common Factor Method
Now, list down the factors of 5407
:1,5407
Now, list down the factors of 3302
:1,2,13,26,127,254,1651,3302
Greatest Common Factor
We found the factors 5407,3302 . The biggest common factor number is the GCF number.
So the greatest common factor 5407,3302 is 1.
Lets's calculate LCM of 352,558
| 2 | 352, 558 |
| 176, 279 |
∴ So the LCM of the given numbers is 2 x 176 x 279 = 98208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98208
Therefore, the GCF of Fractions 5407/352,3302/558 is 1/98208
Least Common Multiple of 352,558 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 352,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,558) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(352,558) x common factors =2 x 1 = 2
LCM(352,558) = ( 352 × 558 ) / 2
LCM(352,558) = 196416 / 2
LCM(352,558) = 98208
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FAQs on GCF of Fractions of 5407/352, 3302/558
1. What is the HCF of 5407,3302?
The HCF of 5407,3302 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 5407/352, 3302/558?
Answer: GCF of Numerators as per given numbers 5407/352, 3302/558 is
GCF of Numerators i.e. for 5407,3302 is 1
LCM of denominators i.e. for 352,558 is 98208.
Thus, GCF of Fractions is 1/98208.Finally, GCF of Fractions for 5407/352, 3302/558 is 1/98208.