GCF of 7234/919, 8762/1473
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7234/919, 8762/1473 i.e 2/1353687 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7234/919, 8762/1473.
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 7234/919,8762/1473?
Given fractions are 7234/919,8762/1473
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 7234/919,8762/1473, numerators are 7234,8762
Denominators are 919,1473
The GCF of 7234,8762 is 2 .
LCM of 919,1473 is 1353687.
The greatest common factor of 7234/919,8762/1473 = [GCF of 7234,8762]/[LCM of 919,1473]= 2/1353687
Therefore, the GCF of 7234/919,8762/1473 is 2/1353687.
To find the highest common factor of 7234,8762, we have to find the factors of both numbers and list the highest common factor.
The factors of 7234 are 1, 2, 3617, 7234
The factors of 8762 are 1, 2, 13, 26, 337, 674, 4381, 8762
The HCF of 7234,8762 is 2.
Lets's calculate GCF of 7234,8762
| 2 | 7234, 8762 |
| 3617, 4381 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7234,8762 By Matching Biggest Common Factor Method
Now, list down the factors of 7234
:1,2,3617,7234
Now, list down the factors of 8762
:1,2,13,26,337,674,4381,8762
Greatest Common Factor
We found the factors 7234,8762 . The biggest common factor number is the GCF number.
So the greatest common factor 7234,8762 is 2.
Lets's calculate LCM of 919,1473
Given numbers has no common factors except 1. So, there LCM is their product i.e 1353687
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1353687
Therefore, the GCF of Fractions 7234/919,8762/1473 is 2/1353687
Least Common Multiple of 919,1473 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 919,1473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,1473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,1473) x common factors =1 x 1 = 1
LCM(919,1473) = ( 919 × 1473 ) / 1
LCM(919,1473) = 1353687 / 1
LCM(919,1473) = 1353687
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FAQs on GCF of Fractions of 7234/919, 8762/1473
1. What is the HCF of 7234,8762?
The HCF of 7234,8762 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 7234/919, 8762/1473?
Answer: GCF of Numerators as per given numbers 7234/919, 8762/1473 is
GCF of Numerators i.e. for 7234,8762 is 2
LCM of denominators i.e. for 919,1473 is 1353687.
Thus, GCF of Fractions is 2/1353687.Finally, GCF of Fractions for 7234/919, 8762/1473 is 2/1353687.