GCF of 5736/762, 5202/677
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5736/762, 5202/677 i.e 6/515874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5736/762, 5202/677.
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 5736/762,5202/677?
Given fractions are 5736/762,5202/677
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 5736/762,5202/677, numerators are 5736,5202
Denominators are 762,677
The GCF of 5736,5202 is 6 .
LCM of 762,677 is 515874.
The greatest common factor of 5736/762,5202/677 = [GCF of 5736,5202]/[LCM of 762,677]= 6/515874
Therefore, the GCF of 5736/762,5202/677 is 6/515874.
To find the highest common factor of 5736,5202, we have to find the factors of both numbers and list the highest common factor.
The factors of 5736 are 1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736
The factors of 5202 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 289, 306, 578, 867, 1734, 2601, 5202
The HCF of 5736,5202 is 6.
Lets's calculate GCF of 5736,5202
| 2 | 5736, 5202 |
| 3 | 2868, 2601 |
| 956, 867 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5736,5202 By Matching Biggest Common Factor Method
Now, list down the factors of 5736
:1,2,3,4,6,8,12,24,239,478,717,956,1434,1912,2868,5736
Now, list down the factors of 5202
:1,2,3,6,9,17,18,34,51,102,153,289,306,578,867,1734,2601,5202
Greatest Common Factor
We found the factors 5736,5202 . The biggest common factor number is the GCF number.
So the greatest common factor 5736,5202 is 6.
Lets's calculate LCM of 762,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 515874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/515874
Therefore, the GCF of Fractions 5736/762,5202/677 is 6/515874
Least Common Multiple of 762,677 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 762,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(762,677) x common factors =1 x 1 = 1
LCM(762,677) = ( 762 × 677 ) / 1
LCM(762,677) = 515874 / 1
LCM(762,677) = 515874
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5736/762, 5202/677
1. What is the HCF of 5736,5202?
The HCF of 5736,5202 is 6
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 5736/762, 5202/677?
Answer: GCF of Numerators as per given numbers 5736/762, 5202/677 is
GCF of Numerators i.e. for 5736,5202 is 6
LCM of denominators i.e. for 762,677 is 515874.
Thus, GCF of Fractions is 6/515874.Finally, GCF of Fractions for 5736/762, 5202/677 is 6/515874.