GCF of 220/97, 821/7722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 220/97, 821/7722 i.e 1/749034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 220/97, 821/7722.
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 220/97,821/7722?
Given fractions are 220/97,821/7722
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 220/97,821/7722, numerators are 220,821
Denominators are 97,7722
The GCF of 220,821 is 1 .
LCM of 97,7722 is 749034.
The greatest common factor of 220/97,821/7722 = [GCF of 220,821]/[LCM of 97,7722]= 1/749034
Therefore, the GCF of 220/97,821/7722 is 1/749034.
To find the highest common factor of 220,821, we have to find the factors of both numbers and list the highest common factor.
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The factors of 821 are 1, 821
The HCF of 220,821 is 1.
Lets's calculate GCF of 220,821
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 220,821 By Matching Biggest Common Factor Method
Now, list down the factors of 220
:1,2,4,5,10,11,20,22,44,55,110,220
Now, list down the factors of 821
:1,821
Greatest Common Factor
We found the factors 220,821 . The biggest common factor number is the GCF number.
So the greatest common factor 220,821 is 1.
Lets's calculate LCM of 97,7722
Given numbers has no common factors except 1. So, there LCM is their product i.e 749034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/749034
Therefore, the GCF of Fractions 220/97,821/7722 is 1/749034
Least Common Multiple of 97,7722 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 97,7722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,7722) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,7722) x common factors =1 x 1 = 1
LCM(97,7722) = ( 97 × 7722 ) / 1
LCM(97,7722) = 749034 / 1
LCM(97,7722) = 749034
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FAQs on GCF of Fractions of 220/97, 821/7722
1. What is the HCF of 220,821?
The HCF of 220,821 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 220/97, 821/7722?
Answer: GCF of Numerators as per given numbers 220/97, 821/7722 is
GCF of Numerators i.e. for 220,821 is 1
LCM of denominators i.e. for 97,7722 is 749034.
Thus, GCF of Fractions is 1/749034.Finally, GCF of Fractions for 220/97, 821/7722 is 1/749034.