GCF of 8252/330, 1002/7140
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8252/330, 1002/7140 i.e 2/78540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8252/330, 1002/7140.
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 8252/330,1002/7140?
Given fractions are 8252/330,1002/7140
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 8252/330,1002/7140, numerators are 8252,1002
Denominators are 330,7140
The GCF of 8252,1002 is 2 .
LCM of 330,7140 is 78540.
The greatest common factor of 8252/330,1002/7140 = [GCF of 8252,1002]/[LCM of 330,7140]= 2/78540
Therefore, the GCF of 8252/330,1002/7140 is 2/78540.
To find the highest common factor of 8252,1002, we have to find the factors of both numbers and list the highest common factor.
The factors of 8252 are 1, 2, 4, 2063, 4126, 8252
The factors of 1002 are 1, 2, 3, 6, 167, 334, 501, 1002
The HCF of 8252,1002 is 2.
Lets's calculate GCF of 8252,1002
| 2 | 8252, 1002 |
| 4126, 501 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8252,1002 By Matching Biggest Common Factor Method
Now, list down the factors of 8252
:1,2,4,2063,4126,8252
Now, list down the factors of 1002
:1,2,3,6,167,334,501,1002
Greatest Common Factor
We found the factors 8252,1002 . The biggest common factor number is the GCF number.
So the greatest common factor 8252,1002 is 2.
Lets's calculate LCM of 330,7140
| 2 | 330, 7140 |
| 3 | 165, 3570 |
| 5 | 55, 1190 |
| 11, 238 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 238 = 78540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/78540
Therefore, the GCF of Fractions 8252/330,1002/7140 is 2/78540
Least Common Multiple of 330,7140 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 330,7140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,7140) = 30
common factors(in case of two or more numbers have common factors) = 1
GCF(330,7140) x common factors =30 x 1 = 30
LCM(330,7140) = ( 330 × 7140 ) / 30
LCM(330,7140) = 2356200 / 30
LCM(330,7140) = 78540
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FAQs on GCF of Fractions of 8252/330, 1002/7140
1. What is the HCF of 8252,1002?
The HCF of 8252,1002 is 2
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 8252/330, 1002/7140?
Answer: GCF of Numerators as per given numbers 8252/330, 1002/7140 is
GCF of Numerators i.e. for 8252,1002 is 2
LCM of denominators i.e. for 330,7140 is 78540.
Thus, GCF of Fractions is 2/78540.Finally, GCF of Fractions for 8252/330, 1002/7140 is 2/78540.