GCF of 780/33, 507/8169
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 780/33, 507/8169 i.e 39/89859 easily. The following is the detailed procedure to determine the greatest common factor of fractions 780/33, 507/8169.
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 780/33,507/8169?
Given fractions are 780/33,507/8169
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 780/33,507/8169, numerators are 780,507
Denominators are 33,8169
The GCF of 780,507 is 39 .
LCM of 33,8169 is 89859.
The greatest common factor of 780/33,507/8169 = [GCF of 780,507]/[LCM of 33,8169]= 39/89859
Therefore, the GCF of 780/33,507/8169 is 39/89859.
To find the highest common factor of 780,507, we have to find the factors of both numbers and list the highest common factor.
The factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
The factors of 507 are 1, 3, 13, 39, 169, 507
The HCF of 780,507 is 39.
Lets's calculate GCF of 780,507
| 3 | 780, 507 |
| 13 | 260, 169 |
| 20, 13 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 780,507 By Matching Biggest Common Factor Method
Now, list down the factors of 780
:1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Now, list down the factors of 507
:1,3,13,39,169,507
Greatest Common Factor
We found the factors 780,507 . The biggest common factor number is the GCF number.
So the greatest common factor 780,507 is 39.
Lets's calculate LCM of 33,8169
| 3 | 33, 8169 |
| 11, 2723 |
∴ So the LCM of the given numbers is 3 x 11 x 2723 = 89859
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/89859
Therefore, the GCF of Fractions 780/33,507/8169 is 39/89859
Least Common Multiple of 33,8169 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 33,8169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,8169) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(33,8169) x common factors =3 x 1 = 3
LCM(33,8169) = ( 33 × 8169 ) / 3
LCM(33,8169) = 269577 / 3
LCM(33,8169) = 89859
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FAQs on GCF of Fractions of 780/33, 507/8169
1. What is the HCF of 780,507?
The HCF of 780,507 is 39
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 780/33, 507/8169?
Answer: GCF of Numerators as per given numbers 780/33, 507/8169 is
GCF of Numerators i.e. for 780,507 is 39
LCM of denominators i.e. for 33,8169 is 89859.
Thus, GCF of Fractions is 39/89859.Finally, GCF of Fractions for 780/33, 507/8169 is 39/89859.