GCF of 7048/153, 1859/744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7048/153, 1859/744 i.e 1/37944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7048/153, 1859/744.
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 7048/153,1859/744?
Given fractions are 7048/153,1859/744
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 7048/153,1859/744, numerators are 7048,1859
Denominators are 153,744
The GCF of 7048,1859 is 1 .
LCM of 153,744 is 37944.
The greatest common factor of 7048/153,1859/744 = [GCF of 7048,1859]/[LCM of 153,744]= 1/37944
Therefore, the GCF of 7048/153,1859/744 is 1/37944.
To find the highest common factor of 7048,1859, we have to find the factors of both numbers and list the highest common factor.
The factors of 7048 are 1, 2, 4, 8, 881, 1762, 3524, 7048
The factors of 1859 are 1, 11, 13, 143, 169, 1859
The HCF of 7048,1859 is 1.
Lets's calculate GCF of 7048,1859
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7048,1859 By Matching Biggest Common Factor Method
Now, list down the factors of 7048
:1,2,4,8,881,1762,3524,7048
Now, list down the factors of 1859
:1,11,13,143,169,1859
Greatest Common Factor
We found the factors 7048,1859 . The biggest common factor number is the GCF number.
So the greatest common factor 7048,1859 is 1.
Lets's calculate LCM of 153,744
| 3 | 153, 744 |
| 51, 248 |
∴ So the LCM of the given numbers is 3 x 51 x 248 = 37944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37944
Therefore, the GCF of Fractions 7048/153,1859/744 is 1/37944
Least Common Multiple of 153,744 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 153,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,744) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(153,744) x common factors =3 x 1 = 3
LCM(153,744) = ( 153 × 744 ) / 3
LCM(153,744) = 113832 / 3
LCM(153,744) = 37944
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FAQs on GCF of Fractions of 7048/153, 1859/744
1. What is the HCF of 7048,1859?
The HCF of 7048,1859 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 7048/153, 1859/744?
Answer: GCF of Numerators as per given numbers 7048/153, 1859/744 is
GCF of Numerators i.e. for 7048,1859 is 1
LCM of denominators i.e. for 153,744 is 37944.
Thus, GCF of Fractions is 1/37944.Finally, GCF of Fractions for 7048/153, 1859/744 is 1/37944.