GCF of 3769/577, 5868/1002
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3769/577, 5868/1002 i.e 1/578154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3769/577, 5868/1002.
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 3769/577,5868/1002?
Given fractions are 3769/577,5868/1002
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 3769/577,5868/1002, numerators are 3769,5868
Denominators are 577,1002
The GCF of 3769,5868 is 1 .
LCM of 577,1002 is 578154.
The greatest common factor of 3769/577,5868/1002 = [GCF of 3769,5868]/[LCM of 577,1002]= 1/578154
Therefore, the GCF of 3769/577,5868/1002 is 1/578154.
To find the highest common factor of 3769,5868, we have to find the factors of both numbers and list the highest common factor.
The factors of 3769 are 1, 3769
The factors of 5868 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 163, 326, 489, 652, 978, 1467, 1956, 2934, 5868
The HCF of 3769,5868 is 1.
Lets's calculate GCF of 3769,5868
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3769,5868 By Matching Biggest Common Factor Method
Now, list down the factors of 3769
:1,3769
Now, list down the factors of 5868
:1,2,3,4,6,9,12,18,36,163,326,489,652,978,1467,1956,2934,5868
Greatest Common Factor
We found the factors 3769,5868 . The biggest common factor number is the GCF number.
So the greatest common factor 3769,5868 is 1.
Lets's calculate LCM of 577,1002
Given numbers has no common factors except 1. So, there LCM is their product i.e 578154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/578154
Therefore, the GCF of Fractions 3769/577,5868/1002 is 1/578154
Least Common Multiple of 577,1002 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 577,1002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,1002) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,1002) x common factors =1 x 1 = 1
LCM(577,1002) = ( 577 × 1002 ) / 1
LCM(577,1002) = 578154 / 1
LCM(577,1002) = 578154
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FAQs on GCF of Fractions of 3769/577, 5868/1002
1. What is the HCF of 3769,5868?
The HCF of 3769,5868 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 3769/577, 5868/1002?
Answer: GCF of Numerators as per given numbers 3769/577, 5868/1002 is
GCF of Numerators i.e. for 3769,5868 is 1
LCM of denominators i.e. for 577,1002 is 578154.
Thus, GCF of Fractions is 1/578154.Finally, GCF of Fractions for 3769/577, 5868/1002 is 1/578154.