GCF of 7328/490, 6837/302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7328/490, 6837/302 i.e 1/73990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7328/490, 6837/302.
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 7328/490,6837/302?
Given fractions are 7328/490,6837/302
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 7328/490,6837/302, numerators are 7328,6837
Denominators are 490,302
The GCF of 7328,6837 is 1 .
LCM of 490,302 is 73990.
The greatest common factor of 7328/490,6837/302 = [GCF of 7328,6837]/[LCM of 490,302]= 1/73990
Therefore, the GCF of 7328/490,6837/302 is 1/73990.
To find the highest common factor of 7328,6837, we have to find the factors of both numbers and list the highest common factor.
The factors of 7328 are 1, 2, 4, 8, 16, 32, 229, 458, 916, 1832, 3664, 7328
The factors of 6837 are 1, 3, 43, 53, 129, 159, 2279, 6837
The HCF of 7328,6837 is 1.
Lets's calculate GCF of 7328,6837
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7328,6837 By Matching Biggest Common Factor Method
Now, list down the factors of 7328
:1,2,4,8,16,32,229,458,916,1832,3664,7328
Now, list down the factors of 6837
:1,3,43,53,129,159,2279,6837
Greatest Common Factor
We found the factors 7328,6837 . The biggest common factor number is the GCF number.
So the greatest common factor 7328,6837 is 1.
Lets's calculate LCM of 490,302
| 2 | 490, 302 |
| 245, 151 |
∴ So the LCM of the given numbers is 2 x 245 x 151 = 73990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73990
Therefore, the GCF of Fractions 7328/490,6837/302 is 1/73990
Least Common Multiple of 490,302 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 490,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(490,302) x common factors =2 x 1 = 2
LCM(490,302) = ( 490 × 302 ) / 2
LCM(490,302) = 147980 / 2
LCM(490,302) = 73990
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FAQs on GCF of Fractions of 7328/490, 6837/302
1. What is the HCF of 7328,6837?
The HCF of 7328,6837 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 7328/490, 6837/302?
Answer: GCF of Numerators as per given numbers 7328/490, 6837/302 is
GCF of Numerators i.e. for 7328,6837 is 1
LCM of denominators i.e. for 490,302 is 73990.
Thus, GCF of Fractions is 1/73990.Finally, GCF of Fractions for 7328/490, 6837/302 is 1/73990.