GCF of 1248/350, 3876/974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1248/350, 3876/974 i.e 12/170450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1248/350, 3876/974.
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 1248/350,3876/974?
Given fractions are 1248/350,3876/974
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 1248/350,3876/974, numerators are 1248,3876
Denominators are 350,974
The GCF of 1248,3876 is 12 .
LCM of 350,974 is 170450.
The greatest common factor of 1248/350,3876/974 = [GCF of 1248,3876]/[LCM of 350,974]= 12/170450
Therefore, the GCF of 1248/350,3876/974 is 12/170450.
To find the highest common factor of 1248,3876, we have to find the factors of both numbers and list the highest common factor.
The factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248
The factors of 3876 are 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938, 3876
The HCF of 1248,3876 is 12.
Lets's calculate GCF of 1248,3876
| 2 | 1248, 3876 |
| 2 | 624, 1938 |
| 3 | 312, 969 |
| 104, 323 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 1248,3876 By Matching Biggest Common Factor Method
Now, list down the factors of 1248
:1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,78,96,104,156,208,312,416,624,1248
Now, list down the factors of 3876
:1,2,3,4,6,12,17,19,34,38,51,57,68,76,102,114,204,228,323,646,969,1292,1938,3876
Greatest Common Factor
We found the factors 1248,3876 . The biggest common factor number is the GCF number.
So the greatest common factor 1248,3876 is 12.
Lets's calculate LCM of 350,974
| 2 | 350, 974 |
| 175, 487 |
∴ So the LCM of the given numbers is 2 x 175 x 487 = 170450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/170450
Therefore, the GCF of Fractions 1248/350,3876/974 is 12/170450
Least Common Multiple of 350,974 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 350,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(350,974) x common factors =2 x 1 = 2
LCM(350,974) = ( 350 × 974 ) / 2
LCM(350,974) = 340900 / 2
LCM(350,974) = 170450
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FAQs on GCF of Fractions of 1248/350, 3876/974
1. What is the HCF of 1248,3876?
The HCF of 1248,3876 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 1248/350, 3876/974?
Answer: GCF of Numerators as per given numbers 1248/350, 3876/974 is
GCF of Numerators i.e. for 1248,3876 is 12
LCM of denominators i.e. for 350,974 is 170450.
Thus, GCF of Fractions is 12/170450.Finally, GCF of Fractions for 1248/350, 3876/974 is 12/170450.