GCF of 3314/526, 5343/3380
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3314/526, 5343/3380 i.e 1/888940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3314/526, 5343/3380.
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 3314/526,5343/3380?
Given fractions are 3314/526,5343/3380
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 3314/526,5343/3380, numerators are 3314,5343
Denominators are 526,3380
The GCF of 3314,5343 is 1 .
LCM of 526,3380 is 888940.
The greatest common factor of 3314/526,5343/3380 = [GCF of 3314,5343]/[LCM of 526,3380]= 1/888940
Therefore, the GCF of 3314/526,5343/3380 is 1/888940.
To find the highest common factor of 3314,5343, we have to find the factors of both numbers and list the highest common factor.
The factors of 3314 are 1, 2, 1657, 3314
The factors of 5343 are 1, 3, 13, 39, 137, 411, 1781, 5343
The HCF of 3314,5343 is 1.
Lets's calculate GCF of 3314,5343
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3314,5343 By Matching Biggest Common Factor Method
Now, list down the factors of 3314
:1,2,1657,3314
Now, list down the factors of 5343
:1,3,13,39,137,411,1781,5343
Greatest Common Factor
We found the factors 3314,5343 . The biggest common factor number is the GCF number.
So the greatest common factor 3314,5343 is 1.
Lets's calculate LCM of 526,3380
| 2 | 526, 3380 |
| 263, 1690 |
∴ So the LCM of the given numbers is 2 x 263 x 1690 = 888940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/888940
Therefore, the GCF of Fractions 3314/526,5343/3380 is 1/888940
Least Common Multiple of 526,3380 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 526,3380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,3380) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(526,3380) x common factors =2 x 1 = 2
LCM(526,3380) = ( 526 × 3380 ) / 2
LCM(526,3380) = 1777880 / 2
LCM(526,3380) = 888940
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FAQs on GCF of Fractions of 3314/526, 5343/3380
1. What is the HCF of 3314,5343?
The HCF of 3314,5343 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 3314/526, 5343/3380?
Answer: GCF of Numerators as per given numbers 3314/526, 5343/3380 is
GCF of Numerators i.e. for 3314,5343 is 1
LCM of denominators i.e. for 526,3380 is 888940.
Thus, GCF of Fractions is 1/888940.Finally, GCF of Fractions for 3314/526, 5343/3380 is 1/888940.