GCF of 4476/748, 4110/9758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4476/748, 4110/9758 i.e 6/214676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4476/748, 4110/9758.
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 4476/748,4110/9758?
Given fractions are 4476/748,4110/9758
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 4476/748,4110/9758, numerators are 4476,4110
Denominators are 748,9758
The GCF of 4476,4110 is 6 .
LCM of 748,9758 is 214676.
The greatest common factor of 4476/748,4110/9758 = [GCF of 4476,4110]/[LCM of 748,9758]= 6/214676
Therefore, the GCF of 4476/748,4110/9758 is 6/214676.
To find the highest common factor of 4476,4110, we have to find the factors of both numbers and list the highest common factor.
The factors of 4476 are 1, 2, 3, 4, 6, 12, 373, 746, 1119, 1492, 2238, 4476
The factors of 4110 are 1, 2, 3, 5, 6, 10, 15, 30, 137, 274, 411, 685, 822, 1370, 2055, 4110
The HCF of 4476,4110 is 6.
Lets's calculate GCF of 4476,4110
| 2 | 4476, 4110 |
| 3 | 2238, 2055 |
| 746, 685 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4476,4110 By Matching Biggest Common Factor Method
Now, list down the factors of 4476
:1,2,3,4,6,12,373,746,1119,1492,2238,4476
Now, list down the factors of 4110
:1,2,3,5,6,10,15,30,137,274,411,685,822,1370,2055,4110
Greatest Common Factor
We found the factors 4476,4110 . The biggest common factor number is the GCF number.
So the greatest common factor 4476,4110 is 6.
Lets's calculate LCM of 748,9758
| 2 | 748, 9758 |
| 17 | 374, 4879 |
| 22, 287 |
∴ So the LCM of the given numbers is 2 x 17 x 22 x 287 = 214676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/214676
Therefore, the GCF of Fractions 4476/748,4110/9758 is 6/214676
Least Common Multiple of 748,9758 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 748,9758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,9758) = 34
common factors(in case of two or more numbers have common factors) = 1
GCF(748,9758) x common factors =34 x 1 = 34
LCM(748,9758) = ( 748 × 9758 ) / 34
LCM(748,9758) = 7298984 / 34
LCM(748,9758) = 214676
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FAQs on GCF of Fractions of 4476/748, 4110/9758
1. What is the HCF of 4476,4110?
The HCF of 4476,4110 is 6
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 4476/748, 4110/9758?
Answer: GCF of Numerators as per given numbers 4476/748, 4110/9758 is
GCF of Numerators i.e. for 4476,4110 is 6
LCM of denominators i.e. for 748,9758 is 214676.
Thus, GCF of Fractions is 6/214676.Finally, GCF of Fractions for 4476/748, 4110/9758 is 6/214676.