GCF of 4035/738, 1910/676
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4035/738, 1910/676 i.e 5/249444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4035/738, 1910/676.
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 4035/738,1910/676?
Given fractions are 4035/738,1910/676
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 4035/738,1910/676, numerators are 4035,1910
Denominators are 738,676
The GCF of 4035,1910 is 5 .
LCM of 738,676 is 249444.
The greatest common factor of 4035/738,1910/676 = [GCF of 4035,1910]/[LCM of 738,676]= 5/249444
Therefore, the GCF of 4035/738,1910/676 is 5/249444.
To find the highest common factor of 4035,1910, we have to find the factors of both numbers and list the highest common factor.
The factors of 4035 are 1, 3, 5, 15, 269, 807, 1345, 4035
The factors of 1910 are 1, 2, 5, 10, 191, 382, 955, 1910
The HCF of 4035,1910 is 5.
Lets's calculate GCF of 4035,1910
| 5 | 4035, 1910 |
| 807, 382 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4035,1910 By Matching Biggest Common Factor Method
Now, list down the factors of 4035
:1,3,5,15,269,807,1345,4035
Now, list down the factors of 1910
:1,2,5,10,191,382,955,1910
Greatest Common Factor
We found the factors 4035,1910 . The biggest common factor number is the GCF number.
So the greatest common factor 4035,1910 is 5.
Lets's calculate LCM of 738,676
| 2 | 738, 676 |
| 369, 338 |
∴ So the LCM of the given numbers is 2 x 369 x 338 = 249444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/249444
Therefore, the GCF of Fractions 4035/738,1910/676 is 5/249444
Least Common Multiple of 738,676 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 738,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,676) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(738,676) x common factors =2 x 1 = 2
LCM(738,676) = ( 738 × 676 ) / 2
LCM(738,676) = 498888 / 2
LCM(738,676) = 249444
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FAQs on GCF of Fractions of 4035/738, 1910/676
1. What is the HCF of 4035,1910?
The HCF of 4035,1910 is 5
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 4035/738, 1910/676?
Answer: GCF of Numerators as per given numbers 4035/738, 1910/676 is
GCF of Numerators i.e. for 4035,1910 is 5
LCM of denominators i.e. for 738,676 is 249444.
Thus, GCF of Fractions is 5/249444.Finally, GCF of Fractions for 4035/738, 1910/676 is 5/249444.