GCF of 9108/496, 3496/2505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9108/496, 3496/2505 i.e 92/1242480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9108/496, 3496/2505.
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 9108/496,3496/2505?
Given fractions are 9108/496,3496/2505
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 9108/496,3496/2505, numerators are 9108,3496
Denominators are 496,2505
The GCF of 9108,3496 is 92 .
LCM of 496,2505 is 1242480.
The greatest common factor of 9108/496,3496/2505 = [GCF of 9108,3496]/[LCM of 496,2505]= 92/1242480
Therefore, the GCF of 9108/496,3496/2505 is 92/1242480.
To find the highest common factor of 9108,3496, we have to find the factors of both numbers and list the highest common factor.
The factors of 9108 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 33, 36, 44, 46, 66, 69, 92, 99, 132, 138, 198, 207, 253, 276, 396, 414, 506, 759, 828, 1012, 1518, 2277, 3036, 4554, 9108
The factors of 3496 are 1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 437, 874, 1748, 3496
The HCF of 9108,3496 is 92.
Lets's calculate GCF of 9108,3496
| 2 | 9108, 3496 |
| 2 | 4554, 1748 |
| 23 | 2277, 874 |
| 99, 38 |
∴ So the GCF of the given numbers is 2 x 2 x 23 = 92
Greatest Common Factor of 9108,3496 By Matching Biggest Common Factor Method
Now, list down the factors of 9108
:1,2,3,4,6,9,11,12,18,22,23,33,36,44,46,66,69,92,99,132,138,198,207,253,276,396,414,506,759,828,1012,1518,2277,3036,4554,9108
Now, list down the factors of 3496
:1,2,4,8,19,23,38,46,76,92,152,184,437,874,1748,3496
Greatest Common Factor
We found the factors 9108,3496 . The biggest common factor number is the GCF number.
So the greatest common factor 9108,3496 is 92.
Lets's calculate LCM of 496,2505
Given numbers has no common factors except 1. So, there LCM is their product i.e 1242480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 92/1242480
Therefore, the GCF of Fractions 9108/496,3496/2505 is 92/1242480
Least Common Multiple of 496,2505 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 496,2505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,2505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(496,2505) x common factors =1 x 1 = 1
LCM(496,2505) = ( 496 × 2505 ) / 1
LCM(496,2505) = 1242480 / 1
LCM(496,2505) = 1242480
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FAQs on GCF of Fractions of 9108/496, 3496/2505
1. What is the HCF of 9108,3496?
The HCF of 9108,3496 is 92
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 9108/496, 3496/2505?
Answer: GCF of Numerators as per given numbers 9108/496, 3496/2505 is
GCF of Numerators i.e. for 9108,3496 is 92
LCM of denominators i.e. for 496,2505 is 1242480.
Thus, GCF of Fractions is 92/1242480.Finally, GCF of Fractions for 9108/496, 3496/2505 is 92/1242480.