GCF of 60/326, 860/451, 988/678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 60/326, 860/451, 988/678 i.e 4/49841814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/326, 860/451, 988/678.
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 60/326,860/451,988/678?
Given fractions are 60/326,860/451,988/678
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 60/326,860/451,988/678, numerators are 60,860,988
Denominators are 326,451,678
The GCF of 60,860,988 is 4 .
LCM of 326,451,678 is 49841814.
The greatest common factor of 60/326,860/451,988/678 = [GCF of 60,860,988]/[LCM of 326,451,678]= 4/49841814
Therefore, the GCF of 60/326,860/451,988/678 is 4/49841814.
To find the highest common factor of 60,860,988, we have to find the factors of both numbers and list the highest common factor.
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
The HCF of 60,860,988 is 4.
Lets's calculate GCF of 60,860,988
| 2 | 60, 860, 988 |
| 2 | 30, 430, 494 |
| 15, 215, 247 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 60,860,988 By Matching Biggest Common Factor Method
Now, list down the factors of 60
:1,2,3,4,5,6,10,12,15,20,30,60
Now, list down the factors of 860
:1,2,4,5,10,20,43,86,172,215,430,860
Now, list down the factors of 988
:1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 60,860,988 . The biggest common factor number is the GCF number.
So the greatest common factor 60,860,988 is 4.
Lets's calculate LCM of 326,451,678
| 2 | 326, 451, 678 |
| 163, 451, 339 |
∴ So the LCM of the given numbers is 2 x 163 x 451 x 339 = 49841814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/49841814
Therefore, the GCF of Fractions 60/326,860/451,988/678 is 4/49841814
Least Common Multiple of 326,451,678 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 326,451,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,451,678) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(326,451,678) x common factors =1 x 2 = 2
LCM(326,451,678) = ( 326 × 451 × 678 ) / 2
LCM(326,451,678) = 99683628 / 2
LCM(326,451,678) = 49841814
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FAQs on GCF of Fractions of 60/326, 860/451, 988/678
1. What is the HCF of 60,860,988?
The HCF of 60,860,988 is 4
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 60/326, 860/451, 988/678?
Answer: GCF of Numerators as per given numbers 60/326, 860/451, 988/678 is
GCF of Numerators i.e. for 60,860,988 is 4
LCM of denominators i.e. for 326,451,678 is 49841814.
Thus, GCF of Fractions is 4/49841814.Finally, GCF of Fractions for 60/326, 860/451, 988/678 is 4/49841814.