GCF of 4924/825, 8088/3250
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4924/825, 8088/3250 i.e 4/107250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4924/825, 8088/3250.
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 4924/825,8088/3250?
Given fractions are 4924/825,8088/3250
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 4924/825,8088/3250, numerators are 4924,8088
Denominators are 825,3250
The GCF of 4924,8088 is 4 .
LCM of 825,3250 is 107250.
The greatest common factor of 4924/825,8088/3250 = [GCF of 4924,8088]/[LCM of 825,3250]= 4/107250
Therefore, the GCF of 4924/825,8088/3250 is 4/107250.
To find the highest common factor of 4924,8088, we have to find the factors of both numbers and list the highest common factor.
The factors of 4924 are 1, 2, 4, 1231, 2462, 4924
The factors of 8088 are 1, 2, 3, 4, 6, 8, 12, 24, 337, 674, 1011, 1348, 2022, 2696, 4044, 8088
The HCF of 4924,8088 is 4.
Lets's calculate GCF of 4924,8088
| 2 | 4924, 8088 |
| 2 | 2462, 4044 |
| 1231, 2022 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4924,8088 By Matching Biggest Common Factor Method
Now, list down the factors of 4924
:1,2,4,1231,2462,4924
Now, list down the factors of 8088
:1,2,3,4,6,8,12,24,337,674,1011,1348,2022,2696,4044,8088
Greatest Common Factor
We found the factors 4924,8088 . The biggest common factor number is the GCF number.
So the greatest common factor 4924,8088 is 4.
Lets's calculate LCM of 825,3250
| 5 | 825, 3250 |
| 5 | 165, 650 |
| 33, 130 |
∴ So the LCM of the given numbers is 5 x 5 x 33 x 130 = 107250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/107250
Therefore, the GCF of Fractions 4924/825,8088/3250 is 4/107250
Least Common Multiple of 825,3250 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 825,3250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,3250) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(825,3250) x common factors =25 x 1 = 25
LCM(825,3250) = ( 825 × 3250 ) / 25
LCM(825,3250) = 2681250 / 25
LCM(825,3250) = 107250
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FAQs on GCF of Fractions of 4924/825, 8088/3250
1. What is the HCF of 4924,8088?
The HCF of 4924,8088 is 4
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 4924/825, 8088/3250?
Answer: GCF of Numerators as per given numbers 4924/825, 8088/3250 is
GCF of Numerators i.e. for 4924,8088 is 4
LCM of denominators i.e. for 825,3250 is 107250.
Thus, GCF of Fractions is 4/107250.Finally, GCF of Fractions for 4924/825, 8088/3250 is 4/107250.