GCF of 3702/122, 5330/478
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3702/122, 5330/478 i.e 2/29158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3702/122, 5330/478.
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 3702/122,5330/478?
Given fractions are 3702/122,5330/478
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 3702/122,5330/478, numerators are 3702,5330
Denominators are 122,478
The GCF of 3702,5330 is 2 .
LCM of 122,478 is 29158.
The greatest common factor of 3702/122,5330/478 = [GCF of 3702,5330]/[LCM of 122,478]= 2/29158
Therefore, the GCF of 3702/122,5330/478 is 2/29158.
To find the highest common factor of 3702,5330, we have to find the factors of both numbers and list the highest common factor.
The factors of 3702 are 1, 2, 3, 6, 617, 1234, 1851, 3702
The factors of 5330 are 1, 2, 5, 10, 13, 26, 41, 65, 82, 130, 205, 410, 533, 1066, 2665, 5330
The HCF of 3702,5330 is 2.
Lets's calculate GCF of 3702,5330
| 2 | 3702, 5330 |
| 1851, 2665 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3702,5330 By Matching Biggest Common Factor Method
Now, list down the factors of 3702
:1,2,3,6,617,1234,1851,3702
Now, list down the factors of 5330
:1,2,5,10,13,26,41,65,82,130,205,410,533,1066,2665,5330
Greatest Common Factor
We found the factors 3702,5330 . The biggest common factor number is the GCF number.
So the greatest common factor 3702,5330 is 2.
Lets's calculate LCM of 122,478
| 2 | 122, 478 |
| 61, 239 |
∴ So the LCM of the given numbers is 2 x 61 x 239 = 29158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29158
Therefore, the GCF of Fractions 3702/122,5330/478 is 2/29158
Least Common Multiple of 122,478 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 122,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,478) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,478) x common factors =2 x 1 = 2
LCM(122,478) = ( 122 × 478 ) / 2
LCM(122,478) = 58316 / 2
LCM(122,478) = 29158
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FAQs on GCF of Fractions of 3702/122, 5330/478
1. What is the HCF of 3702,5330?
The HCF of 3702,5330 is 2
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 3702/122, 5330/478?
Answer: GCF of Numerators as per given numbers 3702/122, 5330/478 is
GCF of Numerators i.e. for 3702,5330 is 2
LCM of denominators i.e. for 122,478 is 29158.
Thus, GCF of Fractions is 2/29158.Finally, GCF of Fractions for 3702/122, 5330/478 is 2/29158.