GCF of 49/370, 7366/3780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 49/370, 7366/3780 i.e 1/139860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 49/370, 7366/3780.
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 49/370,7366/3780?
Given fractions are 49/370,7366/3780
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 49/370,7366/3780, numerators are 49,7366
Denominators are 370,3780
The GCF of 49,7366 is 1 .
LCM of 370,3780 is 139860.
The greatest common factor of 49/370,7366/3780 = [GCF of 49,7366]/[LCM of 370,3780]= 1/139860
Therefore, the GCF of 49/370,7366/3780 is 1/139860.
To find the highest common factor of 49,7366, we have to find the factors of both numbers and list the highest common factor.
The factors of 49 are 1, 7, 49
The factors of 7366 are 1, 2, 29, 58, 127, 254, 3683, 7366
The HCF of 49,7366 is 1.
Lets's calculate GCF of 49,7366
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 49,7366 By Matching Biggest Common Factor Method
Now, list down the factors of 49
:1,7,49
Now, list down the factors of 7366
:1,2,29,58,127,254,3683,7366
Greatest Common Factor
We found the factors 49,7366 . The biggest common factor number is the GCF number.
So the greatest common factor 49,7366 is 1.
Lets's calculate LCM of 370,3780
| 2 | 370, 3780 |
| 5 | 185, 1890 |
| 37, 378 |
∴ So the LCM of the given numbers is 2 x 5 x 37 x 378 = 139860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139860
Therefore, the GCF of Fractions 49/370,7366/3780 is 1/139860
Least Common Multiple of 370,3780 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 370,3780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,3780) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(370,3780) x common factors =10 x 1 = 10
LCM(370,3780) = ( 370 × 3780 ) / 10
LCM(370,3780) = 1398600 / 10
LCM(370,3780) = 139860
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FAQs on GCF of Fractions of 49/370, 7366/3780
1. What is the HCF of 49,7366?
The HCF of 49,7366 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 49/370, 7366/3780?
Answer: GCF of Numerators as per given numbers 49/370, 7366/3780 is
GCF of Numerators i.e. for 49,7366 is 1
LCM of denominators i.e. for 370,3780 is 139860.
Thus, GCF of Fractions is 1/139860.Finally, GCF of Fractions for 49/370, 7366/3780 is 1/139860.