GCF of 1262/844, 9214/3722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1262/844, 9214/3722 i.e 2/1570684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1262/844, 9214/3722.
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 1262/844,9214/3722?
Given fractions are 1262/844,9214/3722
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 1262/844,9214/3722, numerators are 1262,9214
Denominators are 844,3722
The GCF of 1262,9214 is 2 .
LCM of 844,3722 is 1570684.
The greatest common factor of 1262/844,9214/3722 = [GCF of 1262,9214]/[LCM of 844,3722]= 2/1570684
Therefore, the GCF of 1262/844,9214/3722 is 2/1570684.
To find the highest common factor of 1262,9214, we have to find the factors of both numbers and list the highest common factor.
The factors of 1262 are 1, 2, 631, 1262
The factors of 9214 are 1, 2, 17, 34, 271, 542, 4607, 9214
The HCF of 1262,9214 is 2.
Lets's calculate GCF of 1262,9214
| 2 | 1262, 9214 |
| 631, 4607 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1262,9214 By Matching Biggest Common Factor Method
Now, list down the factors of 1262
:1,2,631,1262
Now, list down the factors of 9214
:1,2,17,34,271,542,4607,9214
Greatest Common Factor
We found the factors 1262,9214 . The biggest common factor number is the GCF number.
So the greatest common factor 1262,9214 is 2.
Lets's calculate LCM of 844,3722
| 2 | 844, 3722 |
| 422, 1861 |
∴ So the LCM of the given numbers is 2 x 422 x 1861 = 1570684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1570684
Therefore, the GCF of Fractions 1262/844,9214/3722 is 2/1570684
Least Common Multiple of 844,3722 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 844,3722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,3722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(844,3722) x common factors =2 x 1 = 2
LCM(844,3722) = ( 844 × 3722 ) / 2
LCM(844,3722) = 3141368 / 2
LCM(844,3722) = 1570684
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FAQs on GCF of Fractions of 1262/844, 9214/3722
1. What is the HCF of 1262,9214?
The HCF of 1262,9214 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 1262/844, 9214/3722?
Answer: GCF of Numerators as per given numbers 1262/844, 9214/3722 is
GCF of Numerators i.e. for 1262,9214 is 2
LCM of denominators i.e. for 844,3722 is 1570684.
Thus, GCF of Fractions is 2/1570684.Finally, GCF of Fractions for 1262/844, 9214/3722 is 2/1570684.