GCF of 324/746, 7002/3500
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 324/746, 7002/3500 i.e 18/1305500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 324/746, 7002/3500.
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 324/746,7002/3500?
Given fractions are 324/746,7002/3500
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 324/746,7002/3500, numerators are 324,7002
Denominators are 746,3500
The GCF of 324,7002 is 18 .
LCM of 746,3500 is 1305500.
The greatest common factor of 324/746,7002/3500 = [GCF of 324,7002]/[LCM of 746,3500]= 18/1305500
Therefore, the GCF of 324/746,7002/3500 is 18/1305500.
To find the highest common factor of 324,7002, we have to find the factors of both numbers and list the highest common factor.
The factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
The factors of 7002 are 1, 2, 3, 6, 9, 18, 389, 778, 1167, 2334, 3501, 7002
The HCF of 324,7002 is 18.
Lets's calculate GCF of 324,7002
| 2 | 324, 7002 |
| 3 | 162, 3501 |
| 3 | 54, 1167 |
| 18, 389 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 324,7002 By Matching Biggest Common Factor Method
Now, list down the factors of 324
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
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 324,7002 . The biggest common factor number is the GCF number.
So the greatest common factor 324,7002 is 18.
Lets's calculate LCM of 746,3500
| 2 | 746, 3500 |
| 373, 1750 |
∴ So the LCM of the given numbers is 2 x 373 x 1750 = 1305500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/1305500
Therefore, the GCF of Fractions 324/746,7002/3500 is 18/1305500
Least Common Multiple of 746,3500 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 746,3500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,3500) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(746,3500) x common factors =2 x 1 = 2
LCM(746,3500) = ( 746 × 3500 ) / 2
LCM(746,3500) = 2611000 / 2
LCM(746,3500) = 1305500
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FAQs on GCF of Fractions of 324/746, 7002/3500
1. What is the HCF of 324,7002?
The HCF of 324,7002 is 18
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 324/746, 7002/3500?
Answer: GCF of Numerators as per given numbers 324/746, 7002/3500 is
GCF of Numerators i.e. for 324,7002 is 18
LCM of denominators i.e. for 746,3500 is 1305500.
Thus, GCF of Fractions is 18/1305500.Finally, GCF of Fractions for 324/746, 7002/3500 is 18/1305500.