GCF of 4530/745, 6780/9778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4530/745, 6780/9778 i.e 30/7284610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4530/745, 6780/9778.
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 4530/745,6780/9778?
Given fractions are 4530/745,6780/9778
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 4530/745,6780/9778, numerators are 4530,6780
Denominators are 745,9778
The GCF of 4530,6780 is 30 .
LCM of 745,9778 is 7284610.
The greatest common factor of 4530/745,6780/9778 = [GCF of 4530,6780]/[LCM of 745,9778]= 30/7284610
Therefore, the GCF of 4530/745,6780/9778 is 30/7284610.
To find the highest common factor of 4530,6780, we have to find the factors of both numbers and list the highest common factor.
The factors of 4530 are 1, 2, 3, 5, 6, 10, 15, 30, 151, 302, 453, 755, 906, 1510, 2265, 4530
The factors of 6780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 113, 226, 339, 452, 565, 678, 1130, 1356, 1695, 2260, 3390, 6780
The HCF of 4530,6780 is 30.
Lets's calculate GCF of 4530,6780
| 2 | 4530, 6780 |
| 3 | 2265, 3390 |
| 5 | 755, 1130 |
| 151, 226 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 4530,6780 By Matching Biggest Common Factor Method
Now, list down the factors of 4530
:1,2,3,5,6,10,15,30,151,302,453,755,906,1510,2265,4530
Now, list down the factors of 6780
:1,2,3,4,5,6,10,12,15,20,30,60,113,226,339,452,565,678,1130,1356,1695,2260,3390,6780
Greatest Common Factor
We found the factors 4530,6780 . The biggest common factor number is the GCF number.
So the greatest common factor 4530,6780 is 30.
Lets's calculate LCM of 745,9778
Given numbers has no common factors except 1. So, there LCM is their product i.e 7284610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/7284610
Therefore, the GCF of Fractions 4530/745,6780/9778 is 30/7284610
Least Common Multiple of 745,9778 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 745,9778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,9778) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(745,9778) x common factors =1 x 1 = 1
LCM(745,9778) = ( 745 × 9778 ) / 1
LCM(745,9778) = 7284610 / 1
LCM(745,9778) = 7284610
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FAQs on GCF of Fractions of 4530/745, 6780/9778
1. What is the HCF of 4530,6780?
The HCF of 4530,6780 is 30
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 4530/745, 6780/9778?
Answer: GCF of Numerators as per given numbers 4530/745, 6780/9778 is
GCF of Numerators i.e. for 4530,6780 is 30
LCM of denominators i.e. for 745,9778 is 7284610.
Thus, GCF of Fractions is 30/7284610.Finally, GCF of Fractions for 4530/745, 6780/9778 is 30/7284610.