GCF of 1340/826, 5316/8233
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1340/826, 5316/8233 i.e 4/6800458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1340/826, 5316/8233.
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 1340/826,5316/8233?
Given fractions are 1340/826,5316/8233
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 1340/826,5316/8233, numerators are 1340,5316
Denominators are 826,8233
The GCF of 1340,5316 is 4 .
LCM of 826,8233 is 6800458.
The greatest common factor of 1340/826,5316/8233 = [GCF of 1340,5316]/[LCM of 826,8233]= 4/6800458
Therefore, the GCF of 1340/826,5316/8233 is 4/6800458.
To find the highest common factor of 1340,5316, we have to find the factors of both numbers and list the highest common factor.
The factors of 1340 are 1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340
The factors of 5316 are 1, 2, 3, 4, 6, 12, 443, 886, 1329, 1772, 2658, 5316
The HCF of 1340,5316 is 4.
Lets's calculate GCF of 1340,5316
| 2 | 1340, 5316 |
| 2 | 670, 2658 |
| 335, 1329 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1340,5316 By Matching Biggest Common Factor Method
Now, list down the factors of 1340
:1,2,4,5,10,20,67,134,268,335,670,1340
Now, list down the factors of 5316
:1,2,3,4,6,12,443,886,1329,1772,2658,5316
Greatest Common Factor
We found the factors 1340,5316 . The biggest common factor number is the GCF number.
So the greatest common factor 1340,5316 is 4.
Lets's calculate LCM of 826,8233
Given numbers has no common factors except 1. So, there LCM is their product i.e 6800458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6800458
Therefore, the GCF of Fractions 1340/826,5316/8233 is 4/6800458
Least Common Multiple of 826,8233 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 826,8233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,8233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(826,8233) x common factors =1 x 1 = 1
LCM(826,8233) = ( 826 × 8233 ) / 1
LCM(826,8233) = 6800458 / 1
LCM(826,8233) = 6800458
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FAQs on GCF of Fractions of 1340/826, 5316/8233
1. What is the HCF of 1340,5316?
The HCF of 1340,5316 is 4
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 1340/826, 5316/8233?
Answer: GCF of Numerators as per given numbers 1340/826, 5316/8233 is
GCF of Numerators i.e. for 1340,5316 is 4
LCM of denominators i.e. for 826,8233 is 6800458.
Thus, GCF of Fractions is 4/6800458.Finally, GCF of Fractions for 1340/826, 5316/8233 is 4/6800458.