GCF of 4698/301, 8526/9079
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4698/301, 8526/9079 i.e 174/390397 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4698/301, 8526/9079.
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 4698/301,8526/9079?
Given fractions are 4698/301,8526/9079
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 4698/301,8526/9079, numerators are 4698,8526
Denominators are 301,9079
The GCF of 4698,8526 is 174 .
LCM of 301,9079 is 390397.
The greatest common factor of 4698/301,8526/9079 = [GCF of 4698,8526]/[LCM of 301,9079]= 174/390397
Therefore, the GCF of 4698/301,8526/9079 is 174/390397.
To find the highest common factor of 4698,8526, we have to find the factors of both numbers and list the highest common factor.
The factors of 4698 are 1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 81, 87, 162, 174, 261, 522, 783, 1566, 2349, 4698
The factors of 8526 are 1, 2, 3, 6, 7, 14, 21, 29, 42, 49, 58, 87, 98, 147, 174, 203, 294, 406, 609, 1218, 1421, 2842, 4263, 8526
The HCF of 4698,8526 is 174.
Lets's calculate GCF of 4698,8526
| 2 | 4698, 8526 |
| 3 | 2349, 4263 |
| 29 | 783, 1421 |
| 27, 49 |
∴ So the GCF of the given numbers is 2 x 3 x 29 = 174
Greatest Common Factor of 4698,8526 By Matching Biggest Common Factor Method
Now, list down the factors of 4698
:1,2,3,6,9,18,27,29,54,58,81,87,162,174,261,522,783,1566,2349,4698
Now, list down the factors of 8526
:1,2,3,6,7,14,21,29,42,49,58,87,98,147,174,203,294,406,609,1218,1421,2842,4263,8526
Greatest Common Factor
We found the factors 4698,8526 . The biggest common factor number is the GCF number.
So the greatest common factor 4698,8526 is 174.
Lets's calculate LCM of 301,9079
| 7 | 301, 9079 |
| 43, 1297 |
∴ So the LCM of the given numbers is 7 x 43 x 1297 = 390397
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 174/390397
Therefore, the GCF of Fractions 4698/301,8526/9079 is 174/390397
Least Common Multiple of 301,9079 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 301,9079 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,9079) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(301,9079) x common factors =7 x 1 = 7
LCM(301,9079) = ( 301 × 9079 ) / 7
LCM(301,9079) = 2732779 / 7
LCM(301,9079) = 390397
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FAQs on GCF of Fractions of 4698/301, 8526/9079
1. What is the HCF of 4698,8526?
The HCF of 4698,8526 is 174
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 4698/301, 8526/9079?
Answer: GCF of Numerators as per given numbers 4698/301, 8526/9079 is
GCF of Numerators i.e. for 4698,8526 is 174
LCM of denominators i.e. for 301,9079 is 390397.
Thus, GCF of Fractions is 174/390397.Finally, GCF of Fractions for 4698/301, 8526/9079 is 174/390397.