GCF of 3778/376, 9576/1852
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3778/376, 9576/1852 i.e 2/174088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3778/376, 9576/1852.
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 3778/376,9576/1852?
Given fractions are 3778/376,9576/1852
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 3778/376,9576/1852, numerators are 3778,9576
Denominators are 376,1852
The GCF of 3778,9576 is 2 .
LCM of 376,1852 is 174088.
The greatest common factor of 3778/376,9576/1852 = [GCF of 3778,9576]/[LCM of 376,1852]= 2/174088
Therefore, the GCF of 3778/376,9576/1852 is 2/174088.
To find the highest common factor of 3778,9576, we have to find the factors of both numbers and list the highest common factor.
The factors of 3778 are 1, 2, 1889, 3778
The factors of 9576 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 28, 36, 38, 42, 56, 57, 63, 72, 76, 84, 114, 126, 133, 152, 168, 171, 228, 252, 266, 342, 399, 456, 504, 532, 684, 798, 1064, 1197, 1368, 1596, 2394, 3192, 4788, 9576
The HCF of 3778,9576 is 2.
Lets's calculate GCF of 3778,9576
| 2 | 3778, 9576 |
| 1889, 4788 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3778,9576 By Matching Biggest Common Factor Method
Now, list down the factors of 3778
:1,2,1889,3778
Now, list down the factors of 9576
:1,2,3,4,6,7,8,9,12,14,18,19,21,24,28,36,38,42,56,57,63,72,76,84,114,126,133,152,168,171,228,252,266,342,399,456,504,532,684,798,1064,1197,1368,1596,2394,3192,4788,9576
Greatest Common Factor
We found the factors 3778,9576 . The biggest common factor number is the GCF number.
So the greatest common factor 3778,9576 is 2.
Lets's calculate LCM of 376,1852
| 2 | 376, 1852 |
| 2 | 188, 926 |
| 94, 463 |
∴ So the LCM of the given numbers is 2 x 2 x 94 x 463 = 174088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/174088
Therefore, the GCF of Fractions 3778/376,9576/1852 is 2/174088
Least Common Multiple of 376,1852 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 376,1852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,1852) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(376,1852) x common factors =4 x 1 = 4
LCM(376,1852) = ( 376 × 1852 ) / 4
LCM(376,1852) = 696352 / 4
LCM(376,1852) = 174088
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FAQs on GCF of Fractions of 3778/376, 9576/1852
1. What is the HCF of 3778,9576?
The HCF of 3778,9576 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 3778/376, 9576/1852?
Answer: GCF of Numerators as per given numbers 3778/376, 9576/1852 is
GCF of Numerators i.e. for 3778,9576 is 2
LCM of denominators i.e. for 376,1852 is 174088.
Thus, GCF of Fractions is 2/174088.Finally, GCF of Fractions for 3778/376, 9576/1852 is 2/174088.