GCF of 3312/172, 7908/1948
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3312/172, 7908/1948 i.e 12/83764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3312/172, 7908/1948.
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 3312/172,7908/1948?
Given fractions are 3312/172,7908/1948
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 3312/172,7908/1948, numerators are 3312,7908
Denominators are 172,1948
The GCF of 3312,7908 is 12 .
LCM of 172,1948 is 83764.
The greatest common factor of 3312/172,7908/1948 = [GCF of 3312,7908]/[LCM of 172,1948]= 12/83764
Therefore, the GCF of 3312/172,7908/1948 is 12/83764.
To find the highest common factor of 3312,7908, we have to find the factors of both numbers and list the highest common factor.
The factors of 3312 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656, 3312
The factors of 7908 are 1, 2, 3, 4, 6, 12, 659, 1318, 1977, 2636, 3954, 7908
The HCF of 3312,7908 is 12.
Lets's calculate GCF of 3312,7908
| 2 | 3312, 7908 |
| 2 | 1656, 3954 |
| 3 | 828, 1977 |
| 276, 659 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3312,7908 By Matching Biggest Common Factor Method
Now, list down the factors of 3312
:1,2,3,4,6,8,9,12,16,18,23,24,36,46,48,69,72,92,138,144,184,207,276,368,414,552,828,1104,1656,3312
Now, list down the factors of 7908
:1,2,3,4,6,12,659,1318,1977,2636,3954,7908
Greatest Common Factor
We found the factors 3312,7908 . The biggest common factor number is the GCF number.
So the greatest common factor 3312,7908 is 12.
Lets's calculate LCM of 172,1948
| 2 | 172, 1948 |
| 2 | 86, 974 |
| 43, 487 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 487 = 83764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/83764
Therefore, the GCF of Fractions 3312/172,7908/1948 is 12/83764
Least Common Multiple of 172,1948 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 172,1948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,1948) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(172,1948) x common factors =4 x 1 = 4
LCM(172,1948) = ( 172 × 1948 ) / 4
LCM(172,1948) = 335056 / 4
LCM(172,1948) = 83764
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FAQs on GCF of Fractions of 3312/172, 7908/1948
1. What is the HCF of 3312,7908?
The HCF of 3312,7908 is 12
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 3312/172, 7908/1948?
Answer: GCF of Numerators as per given numbers 3312/172, 7908/1948 is
GCF of Numerators i.e. for 3312,7908 is 12
LCM of denominators i.e. for 172,1948 is 83764.
Thus, GCF of Fractions is 12/83764.Finally, GCF of Fractions for 3312/172, 7908/1948 is 12/83764.