GCF of 8152/330, 8754/3410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8152/330, 8754/3410 i.e 2/10230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8152/330, 8754/3410.
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 8152/330,8754/3410?
Given fractions are 8152/330,8754/3410
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 8152/330,8754/3410, numerators are 8152,8754
Denominators are 330,3410
The GCF of 8152,8754 is 2 .
LCM of 330,3410 is 10230.
The greatest common factor of 8152/330,8754/3410 = [GCF of 8152,8754]/[LCM of 330,3410]= 2/10230
Therefore, the GCF of 8152/330,8754/3410 is 2/10230.
To find the highest common factor of 8152,8754, we have to find the factors of both numbers and list the highest common factor.
The factors of 8152 are 1, 2, 4, 8, 1019, 2038, 4076, 8152
The factors of 8754 are 1, 2, 3, 6, 1459, 2918, 4377, 8754
The HCF of 8152,8754 is 2.
Lets's calculate GCF of 8152,8754
| 2 | 8152, 8754 |
| 4076, 4377 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8152,8754 By Matching Biggest Common Factor Method
Now, list down the factors of 8152
:1,2,4,8,1019,2038,4076,8152
Now, list down the factors of 8754
:1,2,3,6,1459,2918,4377,8754
Greatest Common Factor
We found the factors 8152,8754 . The biggest common factor number is the GCF number.
So the greatest common factor 8152,8754 is 2.
Lets's calculate LCM of 330,3410
| 2 | 330, 3410 |
| 5 | 165, 1705 |
| 11 | 33, 341 |
| 3, 31 |
∴ So the LCM of the given numbers is 2 x 5 x 11 x 3 x 31 = 10230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10230
Therefore, the GCF of Fractions 8152/330,8754/3410 is 2/10230
Least Common Multiple of 330,3410 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 330,3410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,3410) = 110
common factors(in case of two or more numbers have common factors) = 1
GCF(330,3410) x common factors =110 x 1 = 110
LCM(330,3410) = ( 330 × 3410 ) / 110
LCM(330,3410) = 1125300 / 110
LCM(330,3410) = 10230
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FAQs on GCF of Fractions of 8152/330, 8754/3410
1. What is the HCF of 8152,8754?
The HCF of 8152,8754 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 8152/330, 8754/3410?
Answer: GCF of Numerators as per given numbers 8152/330, 8754/3410 is
GCF of Numerators i.e. for 8152,8754 is 2
LCM of denominators i.e. for 330,3410 is 10230.
Thus, GCF of Fractions is 2/10230.Finally, GCF of Fractions for 8152/330, 8754/3410 is 2/10230.