GCF of 551/832, 9251/218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 551/832, 9251/218 i.e 29/90688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 551/832, 9251/218.
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 551/832,9251/218?
Given fractions are 551/832,9251/218
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 551/832,9251/218, numerators are 551,9251
Denominators are 832,218
The GCF of 551,9251 is 29 .
LCM of 832,218 is 90688.
The greatest common factor of 551/832,9251/218 = [GCF of 551,9251]/[LCM of 832,218]= 29/90688
Therefore, the GCF of 551/832,9251/218 is 29/90688.
To find the highest common factor of 551,9251, we have to find the factors of both numbers and list the highest common factor.
The factors of 551 are 1, 19, 29, 551
The factors of 9251 are 1, 11, 29, 319, 841, 9251
The HCF of 551,9251 is 29.
Lets's calculate GCF of 551,9251
| 29 | 551, 9251 |
| 19, 319 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 551,9251 By Matching Biggest Common Factor Method
Now, list down the factors of 551
:1,19,29,551
Now, list down the factors of 9251
:1,11,29,319,841,9251
Greatest Common Factor
We found the factors 551,9251 . The biggest common factor number is the GCF number.
So the greatest common factor 551,9251 is 29.
Lets's calculate LCM of 832,218
| 2 | 832, 218 |
| 416, 109 |
∴ So the LCM of the given numbers is 2 x 416 x 109 = 90688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/90688
Therefore, the GCF of Fractions 551/832,9251/218 is 29/90688
Least Common Multiple of 832,218 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 832,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,218) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(832,218) x common factors =2 x 1 = 2
LCM(832,218) = ( 832 × 218 ) / 2
LCM(832,218) = 181376 / 2
LCM(832,218) = 90688
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FAQs on GCF of Fractions of 551/832, 9251/218
1. What is the HCF of 551,9251?
The HCF of 551,9251 is 29
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 551/832, 9251/218?
Answer: GCF of Numerators as per given numbers 551/832, 9251/218 is
GCF of Numerators i.e. for 551,9251 is 29
LCM of denominators i.e. for 832,218 is 90688.
Thus, GCF of Fractions is 29/90688.Finally, GCF of Fractions for 551/832, 9251/218 is 29/90688.