GCF of 1492/938, 7459/604
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1492/938, 7459/604 i.e 1/283276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1492/938, 7459/604.
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 1492/938,7459/604?
Given fractions are 1492/938,7459/604
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 1492/938,7459/604, numerators are 1492,7459
Denominators are 938,604
The GCF of 1492,7459 is 1 .
LCM of 938,604 is 283276.
The greatest common factor of 1492/938,7459/604 = [GCF of 1492,7459]/[LCM of 938,604]= 1/283276
Therefore, the GCF of 1492/938,7459/604 is 1/283276.
To find the highest common factor of 1492,7459, we have to find the factors of both numbers and list the highest common factor.
The factors of 1492 are 1, 2, 4, 373, 746, 1492
The factors of 7459 are 1, 7459
The HCF of 1492,7459 is 1.
Lets's calculate GCF of 1492,7459
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1492,7459 By Matching Biggest Common Factor Method
Now, list down the factors of 1492
:1,2,4,373,746,1492
Now, list down the factors of 7459
:1,7459
Greatest Common Factor
We found the factors 1492,7459 . The biggest common factor number is the GCF number.
So the greatest common factor 1492,7459 is 1.
Lets's calculate LCM of 938,604
| 2 | 938, 604 |
| 469, 302 |
∴ So the LCM of the given numbers is 2 x 469 x 302 = 283276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/283276
Therefore, the GCF of Fractions 1492/938,7459/604 is 1/283276
Least Common Multiple of 938,604 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 938,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,604) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(938,604) x common factors =2 x 1 = 2
LCM(938,604) = ( 938 × 604 ) / 2
LCM(938,604) = 566552 / 2
LCM(938,604) = 283276
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FAQs on GCF of Fractions of 1492/938, 7459/604
1. What is the HCF of 1492,7459?
The HCF of 1492,7459 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 1492/938, 7459/604?
Answer: GCF of Numerators as per given numbers 1492/938, 7459/604 is
GCF of Numerators i.e. for 1492,7459 is 1
LCM of denominators i.e. for 938,604 is 283276.
Thus, GCF of Fractions is 1/283276.Finally, GCF of Fractions for 1492/938, 7459/604 is 1/283276.