GCF of 7765/484, 8300/4552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7765/484, 8300/4552 i.e 5/550792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7765/484, 8300/4552.
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 7765/484,8300/4552?
Given fractions are 7765/484,8300/4552
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 7765/484,8300/4552, numerators are 7765,8300
Denominators are 484,4552
The GCF of 7765,8300 is 5 .
LCM of 484,4552 is 550792.
The greatest common factor of 7765/484,8300/4552 = [GCF of 7765,8300]/[LCM of 484,4552]= 5/550792
Therefore, the GCF of 7765/484,8300/4552 is 5/550792.
To find the highest common factor of 7765,8300, we have to find the factors of both numbers and list the highest common factor.
The factors of 7765 are 1, 5, 1553, 7765
The factors of 8300 are 1, 2, 4, 5, 10, 20, 25, 50, 83, 100, 166, 332, 415, 830, 1660, 2075, 4150, 8300
The HCF of 7765,8300 is 5.
Lets's calculate GCF of 7765,8300
| 5 | 7765, 8300 |
| 1553, 1660 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7765,8300 By Matching Biggest Common Factor Method
Now, list down the factors of 7765
:1,5,1553,7765
Now, list down the factors of 8300
:1,2,4,5,10,20,25,50,83,100,166,332,415,830,1660,2075,4150,8300
Greatest Common Factor
We found the factors 7765,8300 . The biggest common factor number is the GCF number.
So the greatest common factor 7765,8300 is 5.
Lets's calculate LCM of 484,4552
| 2 | 484, 4552 |
| 2 | 242, 2276 |
| 121, 1138 |
∴ So the LCM of the given numbers is 2 x 2 x 121 x 1138 = 550792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/550792
Therefore, the GCF of Fractions 7765/484,8300/4552 is 5/550792
Least Common Multiple of 484,4552 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 484,4552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,4552) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(484,4552) x common factors =4 x 1 = 4
LCM(484,4552) = ( 484 × 4552 ) / 4
LCM(484,4552) = 2203168 / 4
LCM(484,4552) = 550792
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FAQs on GCF of Fractions of 7765/484, 8300/4552
1. What is the HCF of 7765,8300?
The HCF of 7765,8300 is 5
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 7765/484, 8300/4552?
Answer: GCF of Numerators as per given numbers 7765/484, 8300/4552 is
GCF of Numerators i.e. for 7765,8300 is 5
LCM of denominators i.e. for 484,4552 is 550792.
Thus, GCF of Fractions is 5/550792.Finally, GCF of Fractions for 7765/484, 8300/4552 is 5/550792.