GCF of 1312/536, 3493/5200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1312/536, 3493/5200 i.e 1/348400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1312/536, 3493/5200.
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 1312/536,3493/5200?
Given fractions are 1312/536,3493/5200
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 1312/536,3493/5200, numerators are 1312,3493
Denominators are 536,5200
The GCF of 1312,3493 is 1 .
LCM of 536,5200 is 348400.
The greatest common factor of 1312/536,3493/5200 = [GCF of 1312,3493]/[LCM of 536,5200]= 1/348400
Therefore, the GCF of 1312/536,3493/5200 is 1/348400.
To find the highest common factor of 1312,3493, we have to find the factors of both numbers and list the highest common factor.
The factors of 1312 are 1, 2, 4, 8, 16, 32, 41, 82, 164, 328, 656, 1312
The factors of 3493 are 1, 7, 499, 3493
The HCF of 1312,3493 is 1.
Lets's calculate GCF of 1312,3493
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1312,3493 By Matching Biggest Common Factor Method
Now, list down the factors of 1312
:1,2,4,8,16,32,41,82,164,328,656,1312
Now, list down the factors of 3493
:1,7,499,3493
Greatest Common Factor
We found the factors 1312,3493 . The biggest common factor number is the GCF number.
So the greatest common factor 1312,3493 is 1.
Lets's calculate LCM of 536,5200
| 2 | 536, 5200 |
| 2 | 268, 2600 |
| 2 | 134, 1300 |
| 67, 650 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 67 x 650 = 348400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/348400
Therefore, the GCF of Fractions 1312/536,3493/5200 is 1/348400
Least Common Multiple of 536,5200 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 536,5200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,5200) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(536,5200) x common factors =8 x 1 = 8
LCM(536,5200) = ( 536 × 5200 ) / 8
LCM(536,5200) = 2787200 / 8
LCM(536,5200) = 348400
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FAQs on GCF of Fractions of 1312/536, 3493/5200
1. What is the HCF of 1312,3493?
The HCF of 1312,3493 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 1312/536, 3493/5200?
Answer: GCF of Numerators as per given numbers 1312/536, 3493/5200 is
GCF of Numerators i.e. for 1312,3493 is 1
LCM of denominators i.e. for 536,5200 is 348400.
Thus, GCF of Fractions is 1/348400.Finally, GCF of Fractions for 1312/536, 3493/5200 is 1/348400.