GCF of 651/13, 155/978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 651/13, 155/978 i.e 31/12714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 651/13, 155/978.
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 651/13,155/978?
Given fractions are 651/13,155/978
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 651/13,155/978, numerators are 651,155
Denominators are 13,978
The GCF of 651,155 is 31 .
LCM of 13,978 is 12714.
The greatest common factor of 651/13,155/978 = [GCF of 651,155]/[LCM of 13,978]= 31/12714
Therefore, the GCF of 651/13,155/978 is 31/12714.
To find the highest common factor of 651,155, we have to find the factors of both numbers and list the highest common factor.
The factors of 651 are 1, 3, 7, 21, 31, 93, 217, 651
The factors of 155 are 1, 5, 31, 155
The HCF of 651,155 is 31.
Lets's calculate GCF of 651,155
| 31 | 651, 155 |
| 21, 5 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 651,155 By Matching Biggest Common Factor Method
Now, list down the factors of 651
:1,3,7,21,31,93,217,651
Now, list down the factors of 155
:1,5,31,155
Greatest Common Factor
We found the factors 651,155 . The biggest common factor number is the GCF number.
So the greatest common factor 651,155 is 31.
Lets's calculate LCM of 13,978
Given numbers has no common factors except 1. So, there LCM is their product i.e 12714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/12714
Therefore, the GCF of Fractions 651/13,155/978 is 31/12714
Least Common Multiple of 13,978 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 13,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,978) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,978) x common factors =1 x 1 = 1
LCM(13,978) = ( 13 × 978 ) / 1
LCM(13,978) = 12714 / 1
LCM(13,978) = 12714
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FAQs on GCF of Fractions of 651/13, 155/978
1. What is the HCF of 651,155?
The HCF of 651,155 is 31
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 651/13, 155/978?
Answer: GCF of Numerators as per given numbers 651/13, 155/978 is
GCF of Numerators i.e. for 651,155 is 31
LCM of denominators i.e. for 13,978 is 12714.
Thus, GCF of Fractions is 31/12714.Finally, GCF of Fractions for 651/13, 155/978 is 31/12714.