GCF of 1673/370, 3724/3136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1673/370, 3724/3136 i.e 7/580160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1673/370, 3724/3136.
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 1673/370,3724/3136?
Given fractions are 1673/370,3724/3136
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 1673/370,3724/3136, numerators are 1673,3724
Denominators are 370,3136
The GCF of 1673,3724 is 7 .
LCM of 370,3136 is 580160.
The greatest common factor of 1673/370,3724/3136 = [GCF of 1673,3724]/[LCM of 370,3136]= 7/580160
Therefore, the GCF of 1673/370,3724/3136 is 7/580160.
To find the highest common factor of 1673,3724, we have to find the factors of both numbers and list the highest common factor.
The factors of 1673 are 1, 7, 239, 1673
The factors of 3724 are 1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862, 3724
The HCF of 1673,3724 is 7.
Lets's calculate GCF of 1673,3724
| 7 | 1673, 3724 |
| 239, 532 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1673,3724 By Matching Biggest Common Factor Method
Now, list down the factors of 1673
:1,7,239,1673
Now, list down the factors of 3724
:1,2,4,7,14,19,28,38,49,76,98,133,196,266,532,931,1862,3724
Greatest Common Factor
We found the factors 1673,3724 . The biggest common factor number is the GCF number.
So the greatest common factor 1673,3724 is 7.
Lets's calculate LCM of 370,3136
| 2 | 370, 3136 |
| 185, 1568 |
∴ So the LCM of the given numbers is 2 x 185 x 1568 = 580160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/580160
Therefore, the GCF of Fractions 1673/370,3724/3136 is 7/580160
Least Common Multiple of 370,3136 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 370,3136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,3136) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(370,3136) x common factors =2 x 1 = 2
LCM(370,3136) = ( 370 × 3136 ) / 2
LCM(370,3136) = 1160320 / 2
LCM(370,3136) = 580160
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FAQs on GCF of Fractions of 1673/370, 3724/3136
1. What is the HCF of 1673,3724?
The HCF of 1673,3724 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 1673/370, 3724/3136?
Answer: GCF of Numerators as per given numbers 1673/370, 3724/3136 is
GCF of Numerators i.e. for 1673,3724 is 7
LCM of denominators i.e. for 370,3136 is 580160.
Thus, GCF of Fractions is 7/580160.Finally, GCF of Fractions for 1673/370, 3724/3136 is 7/580160.