GCF of 1054/409, 8237/7770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1054/409, 8237/7770 i.e 1/3177930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1054/409, 8237/7770.
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 1054/409,8237/7770?
Given fractions are 1054/409,8237/7770
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 1054/409,8237/7770, numerators are 1054,8237
Denominators are 409,7770
The GCF of 1054,8237 is 1 .
LCM of 409,7770 is 3177930.
The greatest common factor of 1054/409,8237/7770 = [GCF of 1054,8237]/[LCM of 409,7770]= 1/3177930
Therefore, the GCF of 1054/409,8237/7770 is 1/3177930.
To find the highest common factor of 1054,8237, we have to find the factors of both numbers and list the highest common factor.
The factors of 1054 are 1, 2, 17, 31, 34, 62, 527, 1054
The factors of 8237 are 1, 8237
The HCF of 1054,8237 is 1.
Lets's calculate GCF of 1054,8237
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1054,8237 By Matching Biggest Common Factor Method
Now, list down the factors of 1054
:1,2,17,31,34,62,527,1054
Now, list down the factors of 8237
:1,8237
Greatest Common Factor
We found the factors 1054,8237 . The biggest common factor number is the GCF number.
So the greatest common factor 1054,8237 is 1.
Lets's calculate LCM of 409,7770
Given numbers has no common factors except 1. So, there LCM is their product i.e 3177930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3177930
Therefore, the GCF of Fractions 1054/409,8237/7770 is 1/3177930
Least Common Multiple of 409,7770 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 409,7770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,7770) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,7770) x common factors =1 x 1 = 1
LCM(409,7770) = ( 409 × 7770 ) / 1
LCM(409,7770) = 3177930 / 1
LCM(409,7770) = 3177930
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FAQs on GCF of Fractions of 1054/409, 8237/7770
1. What is the HCF of 1054,8237?
The HCF of 1054,8237 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 1054/409, 8237/7770?
Answer: GCF of Numerators as per given numbers 1054/409, 8237/7770 is
GCF of Numerators i.e. for 1054,8237 is 1
LCM of denominators i.e. for 409,7770 is 3177930.
Thus, GCF of Fractions is 1/3177930.Finally, GCF of Fractions for 1054/409, 8237/7770 is 1/3177930.