GCF of 4775/182, 1862/628
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4775/182, 1862/628 i.e 1/57148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4775/182, 1862/628.
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 4775/182,1862/628?
Given fractions are 4775/182,1862/628
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 4775/182,1862/628, numerators are 4775,1862
Denominators are 182,628
The GCF of 4775,1862 is 1 .
LCM of 182,628 is 57148.
The greatest common factor of 4775/182,1862/628 = [GCF of 4775,1862]/[LCM of 182,628]= 1/57148
Therefore, the GCF of 4775/182,1862/628 is 1/57148.
To find the highest common factor of 4775,1862, we have to find the factors of both numbers and list the highest common factor.
The factors of 4775 are 1, 5, 25, 191, 955, 4775
The factors of 1862 are 1, 2, 7, 14, 19, 38, 49, 98, 133, 266, 931, 1862
The HCF of 4775,1862 is 1.
Lets's calculate GCF of 4775,1862
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4775,1862 By Matching Biggest Common Factor Method
Now, list down the factors of 4775
:1,5,25,191,955,4775
Now, list down the factors of 1862
:1,2,7,14,19,38,49,98,133,266,931,1862
Greatest Common Factor
We found the factors 4775,1862 . The biggest common factor number is the GCF number.
So the greatest common factor 4775,1862 is 1.
Lets's calculate LCM of 182,628
| 2 | 182, 628 |
| 91, 314 |
∴ So the LCM of the given numbers is 2 x 91 x 314 = 57148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57148
Therefore, the GCF of Fractions 4775/182,1862/628 is 1/57148
Least Common Multiple of 182,628 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 182,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,628) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(182,628) x common factors =2 x 1 = 2
LCM(182,628) = ( 182 × 628 ) / 2
LCM(182,628) = 114296 / 2
LCM(182,628) = 57148
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FAQs on GCF of Fractions of 4775/182, 1862/628
1. What is the HCF of 4775,1862?
The HCF of 4775,1862 is 1
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 4775/182, 1862/628?
Answer: GCF of Numerators as per given numbers 4775/182, 1862/628 is
GCF of Numerators i.e. for 4775,1862 is 1
LCM of denominators i.e. for 182,628 is 57148.
Thus, GCF of Fractions is 1/57148.Finally, GCF of Fractions for 4775/182, 1862/628 is 1/57148.