GCF of 6322/275, 2436/3450
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6322/275, 2436/3450 i.e 58/37950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6322/275, 2436/3450.
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 6322/275,2436/3450?
Given fractions are 6322/275,2436/3450
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 6322/275,2436/3450, numerators are 6322,2436
Denominators are 275,3450
The GCF of 6322,2436 is 58 .
LCM of 275,3450 is 37950.
The greatest common factor of 6322/275,2436/3450 = [GCF of 6322,2436]/[LCM of 275,3450]= 58/37950
Therefore, the GCF of 6322/275,2436/3450 is 58/37950.
To find the highest common factor of 6322,2436, we have to find the factors of both numbers and list the highest common factor.
The factors of 6322 are 1, 2, 29, 58, 109, 218, 3161, 6322
The factors of 2436 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218, 2436
The HCF of 6322,2436 is 58.
Lets's calculate GCF of 6322,2436
| 2 | 6322, 2436 |
| 29 | 3161, 1218 |
| 109, 42 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Greatest Common Factor of 6322,2436 By Matching Biggest Common Factor Method
Now, list down the factors of 6322
:1,2,29,58,109,218,3161,6322
Now, list down the factors of 2436
:1,2,3,4,6,7,12,14,21,28,29,42,58,84,87,116,174,203,348,406,609,812,1218,2436
Greatest Common Factor
We found the factors 6322,2436 . The biggest common factor number is the GCF number.
So the greatest common factor 6322,2436 is 58.
Lets's calculate LCM of 275,3450
| 5 | 275, 3450 |
| 5 | 55, 690 |
| 11, 138 |
∴ So the LCM of the given numbers is 5 x 5 x 11 x 138 = 37950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/37950
Therefore, the GCF of Fractions 6322/275,2436/3450 is 58/37950
Least Common Multiple of 275,3450 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 275,3450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(275,3450) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(275,3450) x common factors =25 x 1 = 25
LCM(275,3450) = ( 275 × 3450 ) / 25
LCM(275,3450) = 948750 / 25
LCM(275,3450) = 37950
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FAQs on GCF of Fractions of 6322/275, 2436/3450
1. What is the HCF of 6322,2436?
The HCF of 6322,2436 is 58
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 6322/275, 2436/3450?
Answer: GCF of Numerators as per given numbers 6322/275, 2436/3450 is
GCF of Numerators i.e. for 6322,2436 is 58
LCM of denominators i.e. for 275,3450 is 37950.
Thus, GCF of Fractions is 58/37950.Finally, GCF of Fractions for 6322/275, 2436/3450 is 58/37950.