GCF of 1792/185, 4109/3438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1792/185, 4109/3438 i.e 7/636030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1792/185, 4109/3438.
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 1792/185,4109/3438?
Given fractions are 1792/185,4109/3438
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 1792/185,4109/3438, numerators are 1792,4109
Denominators are 185,3438
The GCF of 1792,4109 is 7 .
LCM of 185,3438 is 636030.
The greatest common factor of 1792/185,4109/3438 = [GCF of 1792,4109]/[LCM of 185,3438]= 7/636030
Therefore, the GCF of 1792/185,4109/3438 is 7/636030.
To find the highest common factor of 1792,4109, we have to find the factors of both numbers and list the highest common factor.
The factors of 1792 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896, 1792
The factors of 4109 are 1, 7, 587, 4109
The HCF of 1792,4109 is 7.
Lets's calculate GCF of 1792,4109
| 7 | 1792, 4109 |
| 256, 587 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1792,4109 By Matching Biggest Common Factor Method
Now, list down the factors of 1792
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,896,1792
Now, list down the factors of 4109
:1,7,587,4109
Greatest Common Factor
We found the factors 1792,4109 . The biggest common factor number is the GCF number.
So the greatest common factor 1792,4109 is 7.
Lets's calculate LCM of 185,3438
Given numbers has no common factors except 1. So, there LCM is their product i.e 636030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/636030
Therefore, the GCF of Fractions 1792/185,4109/3438 is 7/636030
Least Common Multiple of 185,3438 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 185,3438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,3438) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(185,3438) x common factors =1 x 1 = 1
LCM(185,3438) = ( 185 × 3438 ) / 1
LCM(185,3438) = 636030 / 1
LCM(185,3438) = 636030
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FAQs on GCF of Fractions of 1792/185, 4109/3438
1. What is the HCF of 1792,4109?
The HCF of 1792,4109 is 7
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 1792/185, 4109/3438?
Answer: GCF of Numerators as per given numbers 1792/185, 4109/3438 is
GCF of Numerators i.e. for 1792,4109 is 7
LCM of denominators i.e. for 185,3438 is 636030.
Thus, GCF of Fractions is 7/636030.Finally, GCF of Fractions for 1792/185, 4109/3438 is 7/636030.