GCF of 1775/738, 7110/7418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1775/738, 7110/7418 i.e 5/2737242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1775/738, 7110/7418.
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 1775/738,7110/7418?
Given fractions are 1775/738,7110/7418
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 1775/738,7110/7418, numerators are 1775,7110
Denominators are 738,7418
The GCF of 1775,7110 is 5 .
LCM of 738,7418 is 2737242.
The greatest common factor of 1775/738,7110/7418 = [GCF of 1775,7110]/[LCM of 738,7418]= 5/2737242
Therefore, the GCF of 1775/738,7110/7418 is 5/2737242.
To find the highest common factor of 1775,7110, we have to find the factors of both numbers and list the highest common factor.
The factors of 1775 are 1, 5, 25, 71, 355, 1775
The factors of 7110 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 79, 90, 158, 237, 395, 474, 711, 790, 1185, 1422, 2370, 3555, 7110
The HCF of 1775,7110 is 5.
Lets's calculate GCF of 1775,7110
| 5 | 1775, 7110 |
| 355, 1422 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1775,7110 By Matching Biggest Common Factor Method
Now, list down the factors of 1775
:1,5,25,71,355,1775
Now, list down the factors of 7110
:1,2,3,5,6,9,10,15,18,30,45,79,90,158,237,395,474,711,790,1185,1422,2370,3555,7110
Greatest Common Factor
We found the factors 1775,7110 . The biggest common factor number is the GCF number.
So the greatest common factor 1775,7110 is 5.
Lets's calculate LCM of 738,7418
| 2 | 738, 7418 |
| 369, 3709 |
∴ So the LCM of the given numbers is 2 x 369 x 3709 = 2737242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2737242
Therefore, the GCF of Fractions 1775/738,7110/7418 is 5/2737242
Least Common Multiple of 738,7418 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 738,7418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,7418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(738,7418) x common factors =2 x 1 = 2
LCM(738,7418) = ( 738 × 7418 ) / 2
LCM(738,7418) = 5474484 / 2
LCM(738,7418) = 2737242
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1775/738, 7110/7418
1. What is the HCF of 1775,7110?
The HCF of 1775,7110 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 1775/738, 7110/7418?
Answer: GCF of Numerators as per given numbers 1775/738, 7110/7418 is
GCF of Numerators i.e. for 1775,7110 is 5
LCM of denominators i.e. for 738,7418 is 2737242.
Thus, GCF of Fractions is 5/2737242.Finally, GCF of Fractions for 1775/738, 7110/7418 is 5/2737242.