GCF of 3730/186, 1492/1522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3730/186, 1492/1522 i.e 746/141546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3730/186, 1492/1522.
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 3730/186,1492/1522?
Given fractions are 3730/186,1492/1522
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 3730/186,1492/1522, numerators are 3730,1492
Denominators are 186,1522
The GCF of 3730,1492 is 746 .
LCM of 186,1522 is 141546.
The greatest common factor of 3730/186,1492/1522 = [GCF of 3730,1492]/[LCM of 186,1522]= 746/141546
Therefore, the GCF of 3730/186,1492/1522 is 746/141546.
To find the highest common factor of 3730,1492, we have to find the factors of both numbers and list the highest common factor.
The factors of 3730 are 1, 2, 5, 10, 373, 746, 1865, 3730
The factors of 1492 are 1, 2, 4, 373, 746, 1492
The HCF of 3730,1492 is 746.
Lets's calculate GCF of 3730,1492
| 2 | 3730, 1492 |
| 373 | 1865, 746 |
| 5, 2 |
∴ So the GCF of the given numbers is 2 x 373 = 746
Greatest Common Factor of 3730,1492 By Matching Biggest Common Factor Method
Now, list down the factors of 3730
:1,2,5,10,373,746,1865,3730
Now, list down the factors of 1492
:1,2,4,373,746,1492
Greatest Common Factor
We found the factors 3730,1492 . The biggest common factor number is the GCF number.
So the greatest common factor 3730,1492 is 746.
Lets's calculate LCM of 186,1522
| 2 | 186, 1522 |
| 93, 761 |
∴ So the LCM of the given numbers is 2 x 93 x 761 = 141546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 746/141546
Therefore, the GCF of Fractions 3730/186,1492/1522 is 746/141546
Least Common Multiple of 186,1522 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 186,1522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,1522) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(186,1522) x common factors =2 x 1 = 2
LCM(186,1522) = ( 186 × 1522 ) / 2
LCM(186,1522) = 283092 / 2
LCM(186,1522) = 141546
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FAQs on GCF of Fractions of 3730/186, 1492/1522
1. What is the HCF of 3730,1492?
The HCF of 3730,1492 is 746
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 3730/186, 1492/1522?
Answer: GCF of Numerators as per given numbers 3730/186, 1492/1522 is
GCF of Numerators i.e. for 3730,1492 is 746
LCM of denominators i.e. for 186,1522 is 141546.
Thus, GCF of Fractions is 746/141546.Finally, GCF of Fractions for 3730/186, 1492/1522 is 746/141546.