GCF of 392/960, 6069/689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 392/960, 6069/689 i.e 7/661440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 392/960, 6069/689.
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 392/960,6069/689?
Given fractions are 392/960,6069/689
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 392/960,6069/689, numerators are 392,6069
Denominators are 960,689
The GCF of 392,6069 is 7 .
LCM of 960,689 is 661440.
The greatest common factor of 392/960,6069/689 = [GCF of 392,6069]/[LCM of 960,689]= 7/661440
Therefore, the GCF of 392/960,6069/689 is 7/661440.
To find the highest common factor of 392,6069, we have to find the factors of both numbers and list the highest common factor.
The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
The factors of 6069 are 1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069
The HCF of 392,6069 is 7.
Lets's calculate GCF of 392,6069
| 7 | 392, 6069 |
| 56, 867 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 392,6069 By Matching Biggest Common Factor Method
Now, list down the factors of 392
:1,2,4,7,8,14,28,49,56,98,196,392
Now, list down the factors of 6069
:1,3,7,17,21,51,119,289,357,867,2023,6069
Greatest Common Factor
We found the factors 392,6069 . The biggest common factor number is the GCF number.
So the greatest common factor 392,6069 is 7.
Lets's calculate LCM of 960,689
Given numbers has no common factors except 1. So, there LCM is their product i.e 661440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/661440
Therefore, the GCF of Fractions 392/960,6069/689 is 7/661440
Least Common Multiple of 960,689 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 960,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(960,689) x common factors =1 x 1 = 1
LCM(960,689) = ( 960 × 689 ) / 1
LCM(960,689) = 661440 / 1
LCM(960,689) = 661440
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FAQs on GCF of Fractions of 392/960, 6069/689
1. What is the HCF of 392,6069?
The HCF of 392,6069 is 7
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 392/960, 6069/689?
Answer: GCF of Numerators as per given numbers 392/960, 6069/689 is
GCF of Numerators i.e. for 392,6069 is 7
LCM of denominators i.e. for 960,689 is 661440.
Thus, GCF of Fractions is 7/661440.Finally, GCF of Fractions for 392/960, 6069/689 is 7/661440.