GCF of 4562/355, 7862/5015
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4562/355, 7862/5015 i.e 2/356065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4562/355, 7862/5015.
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 4562/355,7862/5015?
Given fractions are 4562/355,7862/5015
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 4562/355,7862/5015, numerators are 4562,7862
Denominators are 355,5015
The GCF of 4562,7862 is 2 .
LCM of 355,5015 is 356065.
The greatest common factor of 4562/355,7862/5015 = [GCF of 4562,7862]/[LCM of 355,5015]= 2/356065
Therefore, the GCF of 4562/355,7862/5015 is 2/356065.
To find the highest common factor of 4562,7862, we have to find the factors of both numbers and list the highest common factor.
The factors of 4562 are 1, 2, 2281, 4562
The factors of 7862 are 1, 2, 3931, 7862
The HCF of 4562,7862 is 2.
Lets's calculate GCF of 4562,7862
| 2 | 4562, 7862 |
| 2281, 3931 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4562,7862 By Matching Biggest Common Factor Method
Now, list down the factors of 4562
:1,2,2281,4562
Now, list down the factors of 7862
:1,2,3931,7862
Greatest Common Factor
We found the factors 4562,7862 . The biggest common factor number is the GCF number.
So the greatest common factor 4562,7862 is 2.
Lets's calculate LCM of 355,5015
| 5 | 355, 5015 |
| 71, 1003 |
∴ So the LCM of the given numbers is 5 x 71 x 1003 = 356065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/356065
Therefore, the GCF of Fractions 4562/355,7862/5015 is 2/356065
Least Common Multiple of 355,5015 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 355,5015 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(355,5015) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(355,5015) x common factors =5 x 1 = 5
LCM(355,5015) = ( 355 × 5015 ) / 5
LCM(355,5015) = 1780325 / 5
LCM(355,5015) = 356065
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FAQs on GCF of Fractions of 4562/355, 7862/5015
1. What is the HCF of 4562,7862?
The HCF of 4562,7862 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 4562/355, 7862/5015?
Answer: GCF of Numerators as per given numbers 4562/355, 7862/5015 is
GCF of Numerators i.e. for 4562,7862 is 2
LCM of denominators i.e. for 355,5015 is 356065.
Thus, GCF of Fractions is 2/356065.Finally, GCF of Fractions for 4562/355, 7862/5015 is 2/356065.