GCF of 3253/400, 5308/3410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3253/400, 5308/3410 i.e 1/136400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3253/400, 5308/3410.
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 3253/400,5308/3410?
Given fractions are 3253/400,5308/3410
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 3253/400,5308/3410, numerators are 3253,5308
Denominators are 400,3410
The GCF of 3253,5308 is 1 .
LCM of 400,3410 is 136400.
The greatest common factor of 3253/400,5308/3410 = [GCF of 3253,5308]/[LCM of 400,3410]= 1/136400
Therefore, the GCF of 3253/400,5308/3410 is 1/136400.
To find the highest common factor of 3253,5308, we have to find the factors of both numbers and list the highest common factor.
The factors of 3253 are 1, 3253
The factors of 5308 are 1, 2, 4, 1327, 2654, 5308
The HCF of 3253,5308 is 1.
Lets's calculate GCF of 3253,5308
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3253,5308 By Matching Biggest Common Factor Method
Now, list down the factors of 3253
:1,3253
Now, list down the factors of 5308
:1,2,4,1327,2654,5308
Greatest Common Factor
We found the factors 3253,5308 . The biggest common factor number is the GCF number.
So the greatest common factor 3253,5308 is 1.
Lets's calculate LCM of 400,3410
| 2 | 400, 3410 |
| 5 | 200, 1705 |
| 40, 341 |
∴ So the LCM of the given numbers is 2 x 5 x 40 x 341 = 136400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136400
Therefore, the GCF of Fractions 3253/400,5308/3410 is 1/136400
Least Common Multiple of 400,3410 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 400,3410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,3410) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(400,3410) x common factors =10 x 1 = 10
LCM(400,3410) = ( 400 × 3410 ) / 10
LCM(400,3410) = 1364000 / 10
LCM(400,3410) = 136400
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FAQs on GCF of Fractions of 3253/400, 5308/3410
1. What is the HCF of 3253,5308?
The HCF of 3253,5308 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 3253/400, 5308/3410?
Answer: GCF of Numerators as per given numbers 3253/400, 5308/3410 is
GCF of Numerators i.e. for 3253,5308 is 1
LCM of denominators i.e. for 400,3410 is 136400.
Thus, GCF of Fractions is 1/136400.Finally, GCF of Fractions for 3253/400, 5308/3410 is 1/136400.