GCF of 7942/185, 4618/8754
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7942/185, 4618/8754 i.e 2/1619490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7942/185, 4618/8754.
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 7942/185,4618/8754?
Given fractions are 7942/185,4618/8754
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 7942/185,4618/8754, numerators are 7942,4618
Denominators are 185,8754
The GCF of 7942,4618 is 2 .
LCM of 185,8754 is 1619490.
The greatest common factor of 7942/185,4618/8754 = [GCF of 7942,4618]/[LCM of 185,8754]= 2/1619490
Therefore, the GCF of 7942/185,4618/8754 is 2/1619490.
To find the highest common factor of 7942,4618, we have to find the factors of both numbers and list the highest common factor.
The factors of 7942 are 1, 2, 11, 19, 22, 38, 209, 361, 418, 722, 3971, 7942
The factors of 4618 are 1, 2, 2309, 4618
The HCF of 7942,4618 is 2.
Lets's calculate GCF of 7942,4618
| 2 | 7942, 4618 |
| 3971, 2309 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7942,4618 By Matching Biggest Common Factor Method
Now, list down the factors of 7942
:1,2,11,19,22,38,209,361,418,722,3971,7942
Now, list down the factors of 4618
:1,2,2309,4618
Greatest Common Factor
We found the factors 7942,4618 . The biggest common factor number is the GCF number.
So the greatest common factor 7942,4618 is 2.
Lets's calculate LCM of 185,8754
Given numbers has no common factors except 1. So, there LCM is their product i.e 1619490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1619490
Therefore, the GCF of Fractions 7942/185,4618/8754 is 2/1619490
Least Common Multiple of 185,8754 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 185,8754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,8754) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(185,8754) x common factors =1 x 1 = 1
LCM(185,8754) = ( 185 × 8754 ) / 1
LCM(185,8754) = 1619490 / 1
LCM(185,8754) = 1619490
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FAQs on GCF of Fractions of 7942/185, 4618/8754
1. What is the HCF of 7942,4618?
The HCF of 7942,4618 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 7942/185, 4618/8754?
Answer: GCF of Numerators as per given numbers 7942/185, 4618/8754 is
GCF of Numerators i.e. for 7942,4618 is 2
LCM of denominators i.e. for 185,8754 is 1619490.
Thus, GCF of Fractions is 2/1619490.Finally, GCF of Fractions for 7942/185, 4618/8754 is 2/1619490.