GCF of 7342/778, 8742/4583
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7342/778, 8742/4583 i.e 2/3565574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7342/778, 8742/4583.
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 7342/778,8742/4583?
Given fractions are 7342/778,8742/4583
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 7342/778,8742/4583, numerators are 7342,8742
Denominators are 778,4583
The GCF of 7342,8742 is 2 .
LCM of 778,4583 is 3565574.
The greatest common factor of 7342/778,8742/4583 = [GCF of 7342,8742]/[LCM of 778,4583]= 2/3565574
Therefore, the GCF of 7342/778,8742/4583 is 2/3565574.
To find the highest common factor of 7342,8742, we have to find the factors of both numbers and list the highest common factor.
The factors of 7342 are 1, 2, 3671, 7342
The factors of 8742 are 1, 2, 3, 6, 31, 47, 62, 93, 94, 141, 186, 282, 1457, 2914, 4371, 8742
The HCF of 7342,8742 is 2.
Lets's calculate GCF of 7342,8742
| 2 | 7342, 8742 |
| 3671, 4371 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7342,8742 By Matching Biggest Common Factor Method
Now, list down the factors of 7342
:1,2,3671,7342
Now, list down the factors of 8742
:1,2,3,6,31,47,62,93,94,141,186,282,1457,2914,4371,8742
Greatest Common Factor
We found the factors 7342,8742 . The biggest common factor number is the GCF number.
So the greatest common factor 7342,8742 is 2.
Lets's calculate LCM of 778,4583
Given numbers has no common factors except 1. So, there LCM is their product i.e 3565574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3565574
Therefore, the GCF of Fractions 7342/778,8742/4583 is 2/3565574
Least Common Multiple of 778,4583 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 778,4583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,4583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(778,4583) x common factors =1 x 1 = 1
LCM(778,4583) = ( 778 × 4583 ) / 1
LCM(778,4583) = 3565574 / 1
LCM(778,4583) = 3565574
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FAQs on GCF of Fractions of 7342/778, 8742/4583
1. What is the HCF of 7342,8742?
The HCF of 7342,8742 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 7342/778, 8742/4583?
Answer: GCF of Numerators as per given numbers 7342/778, 8742/4583 is
GCF of Numerators i.e. for 7342,8742 is 2
LCM of denominators i.e. for 778,4583 is 3565574.
Thus, GCF of Fractions is 2/3565574.Finally, GCF of Fractions for 7342/778, 8742/4583 is 2/3565574.