GCF of 7875/451, 5033/291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7875/451, 5033/291 i.e 7/131241 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7875/451, 5033/291.
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 7875/451,5033/291?
Given fractions are 7875/451,5033/291
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 7875/451,5033/291, numerators are 7875,5033
Denominators are 451,291
The GCF of 7875,5033 is 7 .
LCM of 451,291 is 131241.
The greatest common factor of 7875/451,5033/291 = [GCF of 7875,5033]/[LCM of 451,291]= 7/131241
Therefore, the GCF of 7875/451,5033/291 is 7/131241.
To find the highest common factor of 7875,5033, we have to find the factors of both numbers and list the highest common factor.
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 factors of 5033 are 1, 7, 719, 5033
The HCF of 7875,5033 is 7.
Lets's calculate GCF of 7875,5033
| 7 | 7875, 5033 |
| 1125, 719 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7875,5033 By Matching Biggest Common Factor Method
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
Now, list down the factors of 5033
:1,7,719,5033
Greatest Common Factor
We found the factors 7875,5033 . The biggest common factor number is the GCF number.
So the greatest common factor 7875,5033 is 7.
Lets's calculate LCM of 451,291
Given numbers has no common factors except 1. So, there LCM is their product i.e 131241
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/131241
Therefore, the GCF of Fractions 7875/451,5033/291 is 7/131241
Least Common Multiple of 451,291 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 451,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,291) x common factors =1 x 1 = 1
LCM(451,291) = ( 451 × 291 ) / 1
LCM(451,291) = 131241 / 1
LCM(451,291) = 131241
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FAQs on GCF of Fractions of 7875/451, 5033/291
1. What is the HCF of 7875,5033?
The HCF of 7875,5033 is 7
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 7875/451, 5033/291?
Answer: GCF of Numerators as per given numbers 7875/451, 5033/291 is
GCF of Numerators i.e. for 7875,5033 is 7
LCM of denominators i.e. for 451,291 is 131241.
Thus, GCF of Fractions is 7/131241.Finally, GCF of Fractions for 7875/451, 5033/291 is 7/131241.