GCF of 3325/904, 7875/824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3325/904, 7875/824 i.e 175/93112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3325/904, 7875/824.
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 3325/904,7875/824?
Given fractions are 3325/904,7875/824
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 3325/904,7875/824, numerators are 3325,7875
Denominators are 904,824
The GCF of 3325,7875 is 175 .
LCM of 904,824 is 93112.
The greatest common factor of 3325/904,7875/824 = [GCF of 3325,7875]/[LCM of 904,824]= 175/93112
Therefore, the GCF of 3325/904,7875/824 is 175/93112.
To find the highest common factor of 3325,7875, we have to find the factors of both numbers and list the highest common factor.
The factors of 3325 are 1, 5, 7, 19, 25, 35, 95, 133, 175, 475, 665, 3325
The factors of 7875 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 125, 175, 225, 315, 375, 525, 875, 1125, 1575, 2625, 7875
The HCF of 3325,7875 is 175.
Lets's calculate GCF of 3325,7875
| 5 | 3325, 7875 |
| 5 | 665, 1575 |
| 7 | 133, 315 |
| 19, 45 |
∴ So the GCF of the given numbers is 5 x 5 x 7 = 175
Greatest Common Factor of 3325,7875 By Matching Biggest Common Factor Method
Now, list down the factors of 3325
:1,5,7,19,25,35,95,133,175,475,665,3325
Now, list down the factors of 7875
:1,3,5,7,9,15,21,25,35,45,63,75,105,125,175,225,315,375,525,875,1125,1575,2625,7875
Greatest Common Factor
We found the factors 3325,7875 . The biggest common factor number is the GCF number.
So the greatest common factor 3325,7875 is 175.
Lets's calculate LCM of 904,824
| 2 | 904, 824 |
| 2 | 452, 412 |
| 2 | 226, 206 |
| 113, 103 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 113 x 103 = 93112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 175/93112
Therefore, the GCF of Fractions 3325/904,7875/824 is 175/93112
Least Common Multiple of 904,824 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 904,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,824) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(904,824) x common factors =8 x 1 = 8
LCM(904,824) = ( 904 × 824 ) / 8
LCM(904,824) = 744896 / 8
LCM(904,824) = 93112
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FAQs on GCF of Fractions of 3325/904, 7875/824
1. What is the HCF of 3325,7875?
The HCF of 3325,7875 is 175
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 3325/904, 7875/824?
Answer: GCF of Numerators as per given numbers 3325/904, 7875/824 is
GCF of Numerators i.e. for 3325,7875 is 175
LCM of denominators i.e. for 904,824 is 93112.
Thus, GCF of Fractions is 175/93112.Finally, GCF of Fractions for 3325/904, 7875/824 is 175/93112.