GCF of 1924/155, 1235/1600
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1924/155, 1235/1600 i.e 13/49600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1924/155, 1235/1600.
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 1924/155,1235/1600?
Given fractions are 1924/155,1235/1600
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 1924/155,1235/1600, numerators are 1924,1235
Denominators are 155,1600
The GCF of 1924,1235 is 13 .
LCM of 155,1600 is 49600.
The greatest common factor of 1924/155,1235/1600 = [GCF of 1924,1235]/[LCM of 155,1600]= 13/49600
Therefore, the GCF of 1924/155,1235/1600 is 13/49600.
To find the highest common factor of 1924,1235, we have to find the factors of both numbers and list the highest common factor.
The factors of 1924 are 1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924
The factors of 1235 are 1, 5, 13, 19, 65, 95, 247, 1235
The HCF of 1924,1235 is 13.
Lets's calculate GCF of 1924,1235
| 13 | 1924, 1235 |
| 148, 95 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 1924,1235 By Matching Biggest Common Factor Method
Now, list down the factors of 1924
:1,2,4,13,26,37,52,74,148,481,962,1924
Now, list down the factors of 1235
:1,5,13,19,65,95,247,1235
Greatest Common Factor
We found the factors 1924,1235 . The biggest common factor number is the GCF number.
So the greatest common factor 1924,1235 is 13.
Lets's calculate LCM of 155,1600
| 5 | 155, 1600 |
| 31, 320 |
∴ So the LCM of the given numbers is 5 x 31 x 320 = 49600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/49600
Therefore, the GCF of Fractions 1924/155,1235/1600 is 13/49600
Least Common Multiple of 155,1600 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 155,1600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,1600) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(155,1600) x common factors =5 x 1 = 5
LCM(155,1600) = ( 155 × 1600 ) / 5
LCM(155,1600) = 248000 / 5
LCM(155,1600) = 49600
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FAQs on GCF of Fractions of 1924/155, 1235/1600
1. What is the HCF of 1924,1235?
The HCF of 1924,1235 is 13
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 1924/155, 1235/1600?
Answer: GCF of Numerators as per given numbers 1924/155, 1235/1600 is
GCF of Numerators i.e. for 1924,1235 is 13
LCM of denominators i.e. for 155,1600 is 49600.
Thus, GCF of Fractions is 13/49600.Finally, GCF of Fractions for 1924/155, 1235/1600 is 13/49600.