GCF of 1907/177, 3744/6264
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1907/177, 3744/6264 i.e 1/369576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1907/177, 3744/6264.
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 1907/177,3744/6264?
Given fractions are 1907/177,3744/6264
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 1907/177,3744/6264, numerators are 1907,3744
Denominators are 177,6264
The GCF of 1907,3744 is 1 .
LCM of 177,6264 is 369576.
The greatest common factor of 1907/177,3744/6264 = [GCF of 1907,3744]/[LCM of 177,6264]= 1/369576
Therefore, the GCF of 1907/177,3744/6264 is 1/369576.
To find the highest common factor of 1907,3744, we have to find the factors of both numbers and list the highest common factor.
The factors of 1907 are 1, 1907
The factors of 3744 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872, 3744
The HCF of 1907,3744 is 1.
Lets's calculate GCF of 1907,3744
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1907,3744 By Matching Biggest Common Factor Method
Now, list down the factors of 1907
:1,1907
Now, list down the factors of 3744
:1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,72,78,96,104,117,144,156,208,234,288,312,416,468,624,936,1248,1872,3744
Greatest Common Factor
We found the factors 1907,3744 . The biggest common factor number is the GCF number.
So the greatest common factor 1907,3744 is 1.
Lets's calculate LCM of 177,6264
| 3 | 177, 6264 |
| 59, 2088 |
∴ So the LCM of the given numbers is 3 x 59 x 2088 = 369576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/369576
Therefore, the GCF of Fractions 1907/177,3744/6264 is 1/369576
Least Common Multiple of 177,6264 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 177,6264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,6264) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(177,6264) x common factors =3 x 1 = 3
LCM(177,6264) = ( 177 × 6264 ) / 3
LCM(177,6264) = 1108728 / 3
LCM(177,6264) = 369576
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FAQs on GCF of Fractions of 1907/177, 3744/6264
1. What is the HCF of 1907,3744?
The HCF of 1907,3744 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 1907/177, 3744/6264?
Answer: GCF of Numerators as per given numbers 1907/177, 3744/6264 is
GCF of Numerators i.e. for 1907,3744 is 1
LCM of denominators i.e. for 177,6264 is 369576.
Thus, GCF of Fractions is 1/369576.Finally, GCF of Fractions for 1907/177, 3744/6264 is 1/369576.