GCF of 2576/704, 4351/5371
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2576/704, 4351/5371 i.e 1/3781184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2576/704, 4351/5371.
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 2576/704,4351/5371?
Given fractions are 2576/704,4351/5371
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 2576/704,4351/5371, numerators are 2576,4351
Denominators are 704,5371
The GCF of 2576,4351 is 1 .
LCM of 704,5371 is 3781184.
The greatest common factor of 2576/704,4351/5371 = [GCF of 2576,4351]/[LCM of 704,5371]= 1/3781184
Therefore, the GCF of 2576/704,4351/5371 is 1/3781184.
To find the highest common factor of 2576,4351, we have to find the factors of both numbers and list the highest common factor.
The factors of 2576 are 1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 56, 92, 112, 161, 184, 322, 368, 644, 1288, 2576
The factors of 4351 are 1, 19, 229, 4351
The HCF of 2576,4351 is 1.
Lets's calculate GCF of 2576,4351
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2576,4351 By Matching Biggest Common Factor Method
Now, list down the factors of 2576
:1,2,4,7,8,14,16,23,28,46,56,92,112,161,184,322,368,644,1288,2576
Now, list down the factors of 4351
:1,19,229,4351
Greatest Common Factor
We found the factors 2576,4351 . The biggest common factor number is the GCF number.
So the greatest common factor 2576,4351 is 1.
Lets's calculate LCM of 704,5371
Given numbers has no common factors except 1. So, there LCM is their product i.e 3781184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3781184
Therefore, the GCF of Fractions 2576/704,4351/5371 is 1/3781184
Least Common Multiple of 704,5371 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 704,5371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,5371) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(704,5371) x common factors =1 x 1 = 1
LCM(704,5371) = ( 704 × 5371 ) / 1
LCM(704,5371) = 3781184 / 1
LCM(704,5371) = 3781184
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FAQs on GCF of Fractions of 2576/704, 4351/5371
1. What is the HCF of 2576,4351?
The HCF of 2576,4351 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 2576/704, 4351/5371?
Answer: GCF of Numerators as per given numbers 2576/704, 4351/5371 is
GCF of Numerators i.e. for 2576,4351 is 1
LCM of denominators i.e. for 704,5371 is 3781184.
Thus, GCF of Fractions is 1/3781184.Finally, GCF of Fractions for 2576/704, 4351/5371 is 1/3781184.