GCF of 5021/977, 3766/5278
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5021/977, 3766/5278 i.e 1/5156606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5021/977, 3766/5278.
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 5021/977,3766/5278?
Given fractions are 5021/977,3766/5278
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 5021/977,3766/5278, numerators are 5021,3766
Denominators are 977,5278
The GCF of 5021,3766 is 1 .
LCM of 977,5278 is 5156606.
The greatest common factor of 5021/977,3766/5278 = [GCF of 5021,3766]/[LCM of 977,5278]= 1/5156606
Therefore, the GCF of 5021/977,3766/5278 is 1/5156606.
To find the highest common factor of 5021,3766, we have to find the factors of both numbers and list the highest common factor.
The factors of 5021 are 1, 5021
The factors of 3766 are 1, 2, 7, 14, 269, 538, 1883, 3766
The HCF of 5021,3766 is 1.
Lets's calculate GCF of 5021,3766
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5021,3766 By Matching Biggest Common Factor Method
Now, list down the factors of 5021
:1,5021
Now, list down the factors of 3766
:1,2,7,14,269,538,1883,3766
Greatest Common Factor
We found the factors 5021,3766 . The biggest common factor number is the GCF number.
So the greatest common factor 5021,3766 is 1.
Lets's calculate LCM of 977,5278
Given numbers has no common factors except 1. So, there LCM is their product i.e 5156606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5156606
Therefore, the GCF of Fractions 5021/977,3766/5278 is 1/5156606
Least Common Multiple of 977,5278 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 977,5278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,5278) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,5278) x common factors =1 x 1 = 1
LCM(977,5278) = ( 977 × 5278 ) / 1
LCM(977,5278) = 5156606 / 1
LCM(977,5278) = 5156606
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5021/977, 3766/5278
1. What is the HCF of 5021,3766?
The HCF of 5021,3766 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 5021/977, 3766/5278?
Answer: GCF of Numerators as per given numbers 5021/977, 3766/5278 is
GCF of Numerators i.e. for 5021,3766 is 1
LCM of denominators i.e. for 977,5278 is 5156606.
Thus, GCF of Fractions is 1/5156606.Finally, GCF of Fractions for 5021/977, 3766/5278 is 1/5156606.