GCF of 5026/851, 3669/7399
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5026/851, 3669/7399 i.e 1/6296549 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5026/851, 3669/7399.
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 5026/851,3669/7399?
Given fractions are 5026/851,3669/7399
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 5026/851,3669/7399, numerators are 5026,3669
Denominators are 851,7399
The GCF of 5026,3669 is 1 .
LCM of 851,7399 is 6296549.
The greatest common factor of 5026/851,3669/7399 = [GCF of 5026,3669]/[LCM of 851,7399]= 1/6296549
Therefore, the GCF of 5026/851,3669/7399 is 1/6296549.
To find the highest common factor of 5026,3669, we have to find the factors of both numbers and list the highest common factor.
The factors of 5026 are 1, 2, 7, 14, 359, 718, 2513, 5026
The factors of 3669 are 1, 3, 1223, 3669
The HCF of 5026,3669 is 1.
Lets's calculate GCF of 5026,3669
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5026,3669 By Matching Biggest Common Factor Method
Now, list down the factors of 5026
:1,2,7,14,359,718,2513,5026
Now, list down the factors of 3669
:1,3,1223,3669
Greatest Common Factor
We found the factors 5026,3669 . The biggest common factor number is the GCF number.
So the greatest common factor 5026,3669 is 1.
Lets's calculate LCM of 851,7399
Given numbers has no common factors except 1. So, there LCM is their product i.e 6296549
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6296549
Therefore, the GCF of Fractions 5026/851,3669/7399 is 1/6296549
Least Common Multiple of 851,7399 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 851,7399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,7399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,7399) x common factors =1 x 1 = 1
LCM(851,7399) = ( 851 × 7399 ) / 1
LCM(851,7399) = 6296549 / 1
LCM(851,7399) = 6296549
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5026/851, 3669/7399
1. What is the HCF of 5026,3669?
The HCF of 5026,3669 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 5026/851, 3669/7399?
Answer: GCF of Numerators as per given numbers 5026/851, 3669/7399 is
GCF of Numerators i.e. for 5026,3669 is 1
LCM of denominators i.e. for 851,7399 is 6296549.
Thus, GCF of Fractions is 1/6296549.Finally, GCF of Fractions for 5026/851, 3669/7399 is 1/6296549.