GCF of 488/967, 4825/642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 488/967, 4825/642 i.e 1/620814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 488/967, 4825/642.
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 488/967,4825/642?
Given fractions are 488/967,4825/642
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 488/967,4825/642, numerators are 488,4825
Denominators are 967,642
The GCF of 488,4825 is 1 .
LCM of 967,642 is 620814.
The greatest common factor of 488/967,4825/642 = [GCF of 488,4825]/[LCM of 967,642]= 1/620814
Therefore, the GCF of 488/967,4825/642 is 1/620814.
To find the highest common factor of 488,4825, we have to find the factors of both numbers and list the highest common factor.
The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488
The factors of 4825 are 1, 5, 25, 193, 965, 4825
The HCF of 488,4825 is 1.
Lets's calculate GCF of 488,4825
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 488,4825 By Matching Biggest Common Factor Method
Now, list down the factors of 488
:1,2,4,8,61,122,244,488
Now, list down the factors of 4825
:1,5,25,193,965,4825
Greatest Common Factor
We found the factors 488,4825 . The biggest common factor number is the GCF number.
So the greatest common factor 488,4825 is 1.
Lets's calculate LCM of 967,642
Given numbers has no common factors except 1. So, there LCM is their product i.e 620814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/620814
Therefore, the GCF of Fractions 488/967,4825/642 is 1/620814
Least Common Multiple of 967,642 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 967,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,642) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,642) x common factors =1 x 1 = 1
LCM(967,642) = ( 967 × 642 ) / 1
LCM(967,642) = 620814 / 1
LCM(967,642) = 620814
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FAQs on GCF of Fractions of 488/967, 4825/642
1. What is the HCF of 488,4825?
The HCF of 488,4825 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 488/967, 4825/642?
Answer: GCF of Numerators as per given numbers 488/967, 4825/642 is
GCF of Numerators i.e. for 488,4825 is 1
LCM of denominators i.e. for 967,642 is 620814.
Thus, GCF of Fractions is 1/620814.Finally, GCF of Fractions for 488/967, 4825/642 is 1/620814.