GCF of 3323/406, 7002/748
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3323/406, 7002/748 i.e 1/151844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3323/406, 7002/748.
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 3323/406,7002/748?
Given fractions are 3323/406,7002/748
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 3323/406,7002/748, numerators are 3323,7002
Denominators are 406,748
The GCF of 3323,7002 is 1 .
LCM of 406,748 is 151844.
The greatest common factor of 3323/406,7002/748 = [GCF of 3323,7002]/[LCM of 406,748]= 1/151844
Therefore, the GCF of 3323/406,7002/748 is 1/151844.
To find the highest common factor of 3323,7002, we have to find the factors of both numbers and list the highest common factor.
The factors of 3323 are 1, 3323
The factors of 7002 are 1, 2, 3, 6, 9, 18, 389, 778, 1167, 2334, 3501, 7002
The HCF of 3323,7002 is 1.
Lets's calculate GCF of 3323,7002
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3323,7002 By Matching Biggest Common Factor Method
Now, list down the factors of 3323
:1,3323
Now, list down the factors of 7002
:1,2,3,6,9,18,389,778,1167,2334,3501,7002
Greatest Common Factor
We found the factors 3323,7002 . The biggest common factor number is the GCF number.
So the greatest common factor 3323,7002 is 1.
Lets's calculate LCM of 406,748
| 2 | 406, 748 |
| 203, 374 |
∴ So the LCM of the given numbers is 2 x 203 x 374 = 151844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151844
Therefore, the GCF of Fractions 3323/406,7002/748 is 1/151844
Least Common Multiple of 406,748 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 406,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,748) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,748) x common factors =2 x 1 = 2
LCM(406,748) = ( 406 × 748 ) / 2
LCM(406,748) = 303688 / 2
LCM(406,748) = 151844
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FAQs on GCF of Fractions of 3323/406, 7002/748
1. What is the HCF of 3323,7002?
The HCF of 3323,7002 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 3323/406, 7002/748?
Answer: GCF of Numerators as per given numbers 3323/406, 7002/748 is
GCF of Numerators i.e. for 3323,7002 is 1
LCM of denominators i.e. for 406,748 is 151844.
Thus, GCF of Fractions is 1/151844.Finally, GCF of Fractions for 3323/406, 7002/748 is 1/151844.