GCF of 1492/392, 8922/5736
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1492/392, 8922/5736 i.e 2/281064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1492/392, 8922/5736.
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 1492/392,8922/5736?
Given fractions are 1492/392,8922/5736
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 1492/392,8922/5736, numerators are 1492,8922
Denominators are 392,5736
The GCF of 1492,8922 is 2 .
LCM of 392,5736 is 281064.
The greatest common factor of 1492/392,8922/5736 = [GCF of 1492,8922]/[LCM of 392,5736]= 2/281064
Therefore, the GCF of 1492/392,8922/5736 is 2/281064.
To find the highest common factor of 1492,8922, 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 8922 are 1, 2, 3, 6, 1487, 2974, 4461, 8922
The HCF of 1492,8922 is 2.
Lets's calculate GCF of 1492,8922
| 2 | 1492, 8922 |
| 746, 4461 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1492,8922 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 8922
:1,2,3,6,1487,2974,4461,8922
Greatest Common Factor
We found the factors 1492,8922 . The biggest common factor number is the GCF number.
So the greatest common factor 1492,8922 is 2.
Lets's calculate LCM of 392,5736
| 2 | 392, 5736 |
| 2 | 196, 2868 |
| 2 | 98, 1434 |
| 49, 717 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 49 x 717 = 281064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/281064
Therefore, the GCF of Fractions 1492/392,8922/5736 is 2/281064
Least Common Multiple of 392,5736 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 392,5736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,5736) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(392,5736) x common factors =8 x 1 = 8
LCM(392,5736) = ( 392 × 5736 ) / 8
LCM(392,5736) = 2248512 / 8
LCM(392,5736) = 281064
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FAQs on GCF of Fractions of 1492/392, 8922/5736
1. What is the HCF of 1492,8922?
The HCF of 1492,8922 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 1492/392, 8922/5736?
Answer: GCF of Numerators as per given numbers 1492/392, 8922/5736 is
GCF of Numerators i.e. for 1492,8922 is 2
LCM of denominators i.e. for 392,5736 is 281064.
Thus, GCF of Fractions is 2/281064.Finally, GCF of Fractions for 1492/392, 8922/5736 is 2/281064.