GCF of 3203/392, 6510/6714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3203/392, 6510/6714 i.e 1/1315944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3203/392, 6510/6714.
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 3203/392,6510/6714?
Given fractions are 3203/392,6510/6714
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 3203/392,6510/6714, numerators are 3203,6510
Denominators are 392,6714
The GCF of 3203,6510 is 1 .
LCM of 392,6714 is 1315944.
The greatest common factor of 3203/392,6510/6714 = [GCF of 3203,6510]/[LCM of 392,6714]= 1/1315944
Therefore, the GCF of 3203/392,6510/6714 is 1/1315944.
To find the highest common factor of 3203,6510, we have to find the factors of both numbers and list the highest common factor.
The factors of 3203 are 1, 3203
The factors of 6510 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 31, 35, 42, 62, 70, 93, 105, 155, 186, 210, 217, 310, 434, 465, 651, 930, 1085, 1302, 2170, 3255, 6510
The HCF of 3203,6510 is 1.
Lets's calculate GCF of 3203,6510
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3203,6510 By Matching Biggest Common Factor Method
Now, list down the factors of 3203
:1,3203
Now, list down the factors of 6510
:1,2,3,5,6,7,10,14,15,21,30,31,35,42,62,70,93,105,155,186,210,217,310,434,465,651,930,1085,1302,2170,3255,6510
Greatest Common Factor
We found the factors 3203,6510 . The biggest common factor number is the GCF number.
So the greatest common factor 3203,6510 is 1.
Lets's calculate LCM of 392,6714
| 2 | 392, 6714 |
| 196, 3357 |
∴ So the LCM of the given numbers is 2 x 196 x 3357 = 1315944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1315944
Therefore, the GCF of Fractions 3203/392,6510/6714 is 1/1315944
Least Common Multiple of 392,6714 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 392,6714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,6714) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(392,6714) x common factors =2 x 1 = 2
LCM(392,6714) = ( 392 × 6714 ) / 2
LCM(392,6714) = 2631888 / 2
LCM(392,6714) = 1315944
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FAQs on GCF of Fractions of 3203/392, 6510/6714
1. What is the HCF of 3203,6510?
The HCF of 3203,6510 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 3203/392, 6510/6714?
Answer: GCF of Numerators as per given numbers 3203/392, 6510/6714 is
GCF of Numerators i.e. for 3203,6510 is 1
LCM of denominators i.e. for 392,6714 is 1315944.
Thus, GCF of Fractions is 1/1315944.Finally, GCF of Fractions for 3203/392, 6510/6714 is 1/1315944.