GCF of 426/79, 671/7803
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 426/79, 671/7803 i.e 1/616437 easily. The following is the detailed procedure to determine the greatest common factor of fractions 426/79, 671/7803.
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 426/79,671/7803?
Given fractions are 426/79,671/7803
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 426/79,671/7803, numerators are 426,671
Denominators are 79,7803
The GCF of 426,671 is 1 .
LCM of 79,7803 is 616437.
The greatest common factor of 426/79,671/7803 = [GCF of 426,671]/[LCM of 79,7803]= 1/616437
Therefore, the GCF of 426/79,671/7803 is 1/616437.
To find the highest common factor of 426,671, we have to find the factors of both numbers and list the highest common factor.
The factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426
The factors of 671 are 1, 11, 61, 671
The HCF of 426,671 is 1.
Lets's calculate GCF of 426,671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 426,671 By Matching Biggest Common Factor Method
Now, list down the factors of 426
:1,2,3,6,71,142,213,426
Now, list down the factors of 671
:1,11,61,671
Greatest Common Factor
We found the factors 426,671 . The biggest common factor number is the GCF number.
So the greatest common factor 426,671 is 1.
Lets's calculate LCM of 79,7803
Given numbers has no common factors except 1. So, there LCM is their product i.e 616437
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/616437
Therefore, the GCF of Fractions 426/79,671/7803 is 1/616437
Least Common Multiple of 79,7803 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 79,7803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,7803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,7803) x common factors =1 x 1 = 1
LCM(79,7803) = ( 79 × 7803 ) / 1
LCM(79,7803) = 616437 / 1
LCM(79,7803) = 616437
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FAQs on GCF of Fractions of 426/79, 671/7803
1. What is the HCF of 426,671?
The HCF of 426,671 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 426/79, 671/7803?
Answer: GCF of Numerators as per given numbers 426/79, 671/7803 is
GCF of Numerators i.e. for 426,671 is 1
LCM of denominators i.e. for 79,7803 is 616437.
Thus, GCF of Fractions is 1/616437.Finally, GCF of Fractions for 426/79, 671/7803 is 1/616437.