GCF of 488/97, 127/15, 846/764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 488/97, 127/15, 846/764 i.e 1/1111620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 488/97, 127/15, 846/764.
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 488/97,127/15,846/764?
Given fractions are 488/97,127/15,846/764
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 488/97,127/15,846/764, numerators are 488,127,846
Denominators are 97,15,764
The GCF of 488,127,846 is 1 .
LCM of 97,15,764 is 1111620.
The greatest common factor of 488/97,127/15,846/764 = [GCF of 488,127,846]/[LCM of 97,15,764]= 1/1111620
Therefore, the GCF of 488/97,127/15,846/764 is 1/1111620.
To find the highest common factor of 488,127,846, 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 127 are 1, 127
The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
The HCF of 488,127,846 is 1.
Lets's calculate GCF of 488,127,846
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 488,127,846 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 127
:1,127
Now, list down the factors of 846
:1,2,3,6,9,18,47,94,141,282,423,846
Greatest Common Factor
We found the factors 488,127,846 . The biggest common factor number is the GCF number.
So the greatest common factor 488,127,846 is 1.
Lets's calculate LCM of 97,15,764
Given numbers has no common factors except 1. So, there LCM is their product i.e 1111620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1111620
Therefore, the GCF of Fractions 488/97,127/15,846/764 is 1/1111620
Least Common Multiple of 97,15,764 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 97,15,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,15,764) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,15,764) x common factors =1 x 1 = 1
LCM(97,15,764) = ( 97 × 15 × 764 ) / 1
LCM(97,15,764) = 1111620 / 1
LCM(97,15,764) = 1111620
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FAQs on GCF of Fractions of 488/97, 127/15, 846/764
1. What is the HCF of 488,127,846?
The HCF of 488,127,846 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 488/97, 127/15, 846/764?
Answer: GCF of Numerators as per given numbers 488/97, 127/15, 846/764 is
GCF of Numerators i.e. for 488,127,846 is 1
LCM of denominators i.e. for 97,15,764 is 1111620.
Thus, GCF of Fractions is 1/1111620.Finally, GCF of Fractions for 488/97, 127/15, 846/764 is 1/1111620.