GCF of 2632/420, 4291/5830
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2632/420, 4291/5830 i.e 7/244860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2632/420, 4291/5830.
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 2632/420,4291/5830?
Given fractions are 2632/420,4291/5830
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 2632/420,4291/5830, numerators are 2632,4291
Denominators are 420,5830
The GCF of 2632,4291 is 7 .
LCM of 420,5830 is 244860.
The greatest common factor of 2632/420,4291/5830 = [GCF of 2632,4291]/[LCM of 420,5830]= 7/244860
Therefore, the GCF of 2632/420,4291/5830 is 7/244860.
To find the highest common factor of 2632,4291, we have to find the factors of both numbers and list the highest common factor.
The factors of 2632 are 1, 2, 4, 7, 8, 14, 28, 47, 56, 94, 188, 329, 376, 658, 1316, 2632
The factors of 4291 are 1, 7, 613, 4291
The HCF of 2632,4291 is 7.
Lets's calculate GCF of 2632,4291
| 7 | 2632, 4291 |
| 376, 613 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2632,4291 By Matching Biggest Common Factor Method
Now, list down the factors of 2632
:1,2,4,7,8,14,28,47,56,94,188,329,376,658,1316,2632
Now, list down the factors of 4291
:1,7,613,4291
Greatest Common Factor
We found the factors 2632,4291 . The biggest common factor number is the GCF number.
So the greatest common factor 2632,4291 is 7.
Lets's calculate LCM of 420,5830
| 2 | 420, 5830 |
| 5 | 210, 2915 |
| 42, 583 |
∴ So the LCM of the given numbers is 2 x 5 x 42 x 583 = 244860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/244860
Therefore, the GCF of Fractions 2632/420,4291/5830 is 7/244860
Least Common Multiple of 420,5830 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 420,5830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,5830) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(420,5830) x common factors =10 x 1 = 10
LCM(420,5830) = ( 420 × 5830 ) / 10
LCM(420,5830) = 2448600 / 10
LCM(420,5830) = 244860
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FAQs on GCF of Fractions of 2632/420, 4291/5830
1. What is the HCF of 2632,4291?
The HCF of 2632,4291 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 2632/420, 4291/5830?
Answer: GCF of Numerators as per given numbers 2632/420, 4291/5830 is
GCF of Numerators i.e. for 2632,4291 is 7
LCM of denominators i.e. for 420,5830 is 244860.
Thus, GCF of Fractions is 7/244860.Finally, GCF of Fractions for 2632/420, 4291/5830 is 7/244860.