GCF of 3508/162, 7225/2376
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3508/162, 7225/2376 i.e 1/7128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3508/162, 7225/2376.
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 3508/162,7225/2376?
Given fractions are 3508/162,7225/2376
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 3508/162,7225/2376, numerators are 3508,7225
Denominators are 162,2376
The GCF of 3508,7225 is 1 .
LCM of 162,2376 is 7128.
The greatest common factor of 3508/162,7225/2376 = [GCF of 3508,7225]/[LCM of 162,2376]= 1/7128
Therefore, the GCF of 3508/162,7225/2376 is 1/7128.
To find the highest common factor of 3508,7225, we have to find the factors of both numbers and list the highest common factor.
The factors of 3508 are 1, 2, 4, 877, 1754, 3508
The factors of 7225 are 1, 5, 17, 25, 85, 289, 425, 1445, 7225
The HCF of 3508,7225 is 1.
Lets's calculate GCF of 3508,7225
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3508,7225 By Matching Biggest Common Factor Method
Now, list down the factors of 3508
:1,2,4,877,1754,3508
Now, list down the factors of 7225
:1,5,17,25,85,289,425,1445,7225
Greatest Common Factor
We found the factors 3508,7225 . The biggest common factor number is the GCF number.
So the greatest common factor 3508,7225 is 1.
Lets's calculate LCM of 162,2376
| 2 | 162, 2376 |
| 3 | 81, 1188 |
| 3 | 27, 396 |
| 3 | 9, 132 |
| 3, 44 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 3 x 44 = 7128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7128
Therefore, the GCF of Fractions 3508/162,7225/2376 is 1/7128
Least Common Multiple of 162,2376 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 162,2376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,2376) = 54
common factors(in case of two or more numbers have common factors) = 1
GCF(162,2376) x common factors =54 x 1 = 54
LCM(162,2376) = ( 162 × 2376 ) / 54
LCM(162,2376) = 384912 / 54
LCM(162,2376) = 7128
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FAQs on GCF of Fractions of 3508/162, 7225/2376
1. What is the HCF of 3508,7225?
The HCF of 3508,7225 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 3508/162, 7225/2376?
Answer: GCF of Numerators as per given numbers 3508/162, 7225/2376 is
GCF of Numerators i.e. for 3508,7225 is 1
LCM of denominators i.e. for 162,2376 is 7128.
Thus, GCF of Fractions is 1/7128.Finally, GCF of Fractions for 3508/162, 7225/2376 is 1/7128.