GCF of 3213/238, 6503/5966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3213/238, 6503/5966 i.e 7/709954 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3213/238, 6503/5966.
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 3213/238,6503/5966?
Given fractions are 3213/238,6503/5966
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 3213/238,6503/5966, numerators are 3213,6503
Denominators are 238,5966
The GCF of 3213,6503 is 7 .
LCM of 238,5966 is 709954.
The greatest common factor of 3213/238,6503/5966 = [GCF of 3213,6503]/[LCM of 238,5966]= 7/709954
Therefore, the GCF of 3213/238,6503/5966 is 7/709954.
To find the highest common factor of 3213,6503, we have to find the factors of both numbers and list the highest common factor.
The factors of 3213 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071, 3213
The factors of 6503 are 1, 7, 929, 6503
The HCF of 3213,6503 is 7.
Lets's calculate GCF of 3213,6503
| 7 | 3213, 6503 |
| 459, 929 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3213,6503 By Matching Biggest Common Factor Method
Now, list down the factors of 3213
:1,3,7,9,17,21,27,51,63,119,153,189,357,459,1071,3213
Now, list down the factors of 6503
:1,7,929,6503
Greatest Common Factor
We found the factors 3213,6503 . The biggest common factor number is the GCF number.
So the greatest common factor 3213,6503 is 7.
Lets's calculate LCM of 238,5966
| 2 | 238, 5966 |
| 119, 2983 |
∴ So the LCM of the given numbers is 2 x 119 x 2983 = 709954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/709954
Therefore, the GCF of Fractions 3213/238,6503/5966 is 7/709954
Least Common Multiple of 238,5966 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 238,5966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,5966) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(238,5966) x common factors =2 x 1 = 2
LCM(238,5966) = ( 238 × 5966 ) / 2
LCM(238,5966) = 1419908 / 2
LCM(238,5966) = 709954
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FAQs on GCF of Fractions of 3213/238, 6503/5966
1. What is the HCF of 3213,6503?
The HCF of 3213,6503 is 7
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 3213/238, 6503/5966?
Answer: GCF of Numerators as per given numbers 3213/238, 6503/5966 is
GCF of Numerators i.e. for 3213,6503 is 7
LCM of denominators i.e. for 238,5966 is 709954.
Thus, GCF of Fractions is 7/709954.Finally, GCF of Fractions for 3213/238, 6503/5966 is 7/709954.