GCF of 6454/298, 9588/910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6454/298, 9588/910 i.e 2/135590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6454/298, 9588/910.
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 6454/298,9588/910?
Given fractions are 6454/298,9588/910
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 6454/298,9588/910, numerators are 6454,9588
Denominators are 298,910
The GCF of 6454,9588 is 2 .
LCM of 298,910 is 135590.
The greatest common factor of 6454/298,9588/910 = [GCF of 6454,9588]/[LCM of 298,910]= 2/135590
Therefore, the GCF of 6454/298,9588/910 is 2/135590.
To find the highest common factor of 6454,9588, we have to find the factors of both numbers and list the highest common factor.
The factors of 6454 are 1, 2, 7, 14, 461, 922, 3227, 6454
The factors of 9588 are 1, 2, 3, 4, 6, 12, 17, 34, 47, 51, 68, 94, 102, 141, 188, 204, 282, 564, 799, 1598, 2397, 3196, 4794, 9588
The HCF of 6454,9588 is 2.
Lets's calculate GCF of 6454,9588
| 2 | 6454, 9588 |
| 3227, 4794 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6454,9588 By Matching Biggest Common Factor Method
Now, list down the factors of 6454
:1,2,7,14,461,922,3227,6454
Now, list down the factors of 9588
:1,2,3,4,6,12,17,34,47,51,68,94,102,141,188,204,282,564,799,1598,2397,3196,4794,9588
Greatest Common Factor
We found the factors 6454,9588 . The biggest common factor number is the GCF number.
So the greatest common factor 6454,9588 is 2.
Lets's calculate LCM of 298,910
| 2 | 298, 910 |
| 149, 455 |
∴ So the LCM of the given numbers is 2 x 149 x 455 = 135590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/135590
Therefore, the GCF of Fractions 6454/298,9588/910 is 2/135590
Least Common Multiple of 298,910 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 298,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,910) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,910) x common factors =2 x 1 = 2
LCM(298,910) = ( 298 × 910 ) / 2
LCM(298,910) = 271180 / 2
LCM(298,910) = 135590
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FAQs on GCF of Fractions of 6454/298, 9588/910
1. What is the HCF of 6454,9588?
The HCF of 6454,9588 is 2
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 6454/298, 9588/910?
Answer: GCF of Numerators as per given numbers 6454/298, 9588/910 is
GCF of Numerators i.e. for 6454,9588 is 2
LCM of denominators i.e. for 298,910 is 135590.
Thus, GCF of Fractions is 2/135590.Finally, GCF of Fractions for 6454/298, 9588/910 is 2/135590.