GCF of 969/60, 378/767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 969/60, 378/767 i.e 3/46020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 969/60, 378/767.
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 969/60,378/767?
Given fractions are 969/60,378/767
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 969/60,378/767, numerators are 969,378
Denominators are 60,767
The GCF of 969,378 is 3 .
LCM of 60,767 is 46020.
The greatest common factor of 969/60,378/767 = [GCF of 969,378]/[LCM of 60,767]= 3/46020
Therefore, the GCF of 969/60,378/767 is 3/46020.
To find the highest common factor of 969,378, we have to find the factors of both numbers and list the highest common factor.
The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969
The factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
The HCF of 969,378 is 3.
Lets's calculate GCF of 969,378
| 3 | 969, 378 |
| 323, 126 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 969,378 By Matching Biggest Common Factor Method
Now, list down the factors of 969
:1,3,17,19,51,57,323,969
Now, list down the factors of 378
:1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Greatest Common Factor
We found the factors 969,378 . The biggest common factor number is the GCF number.
So the greatest common factor 969,378 is 3.
Lets's calculate LCM of 60,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 46020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/46020
Therefore, the GCF of Fractions 969/60,378/767 is 3/46020
Least Common Multiple of 60,767 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 60,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(60,767) x common factors =1 x 1 = 1
LCM(60,767) = ( 60 × 767 ) / 1
LCM(60,767) = 46020 / 1
LCM(60,767) = 46020
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FAQs on GCF of Fractions of 969/60, 378/767
1. What is the HCF of 969,378?
The HCF of 969,378 is 3
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 969/60, 378/767?
Answer: GCF of Numerators as per given numbers 969/60, 378/767 is
GCF of Numerators i.e. for 969,378 is 3
LCM of denominators i.e. for 60,767 is 46020.
Thus, GCF of Fractions is 3/46020.Finally, GCF of Fractions for 969/60, 378/767 is 3/46020.