GCF of 6960/618, 6990/9380
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6960/618, 6990/9380 i.e 30/2898420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6960/618, 6990/9380.
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 6960/618,6990/9380?
Given fractions are 6960/618,6990/9380
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 6960/618,6990/9380, numerators are 6960,6990
Denominators are 618,9380
The GCF of 6960,6990 is 30 .
LCM of 618,9380 is 2898420.
The greatest common factor of 6960/618,6990/9380 = [GCF of 6960,6990]/[LCM of 618,9380]= 30/2898420
Therefore, the GCF of 6960/618,6990/9380 is 30/2898420.
To find the highest common factor of 6960,6990, we have to find the factors of both numbers and list the highest common factor.
The factors of 6960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40, 48, 58, 60, 80, 87, 116, 120, 145, 174, 232, 240, 290, 348, 435, 464, 580, 696, 870, 1160, 1392, 1740, 2320, 3480, 6960
The factors of 6990 are 1, 2, 3, 5, 6, 10, 15, 30, 233, 466, 699, 1165, 1398, 2330, 3495, 6990
The HCF of 6960,6990 is 30.
Lets's calculate GCF of 6960,6990
| 2 | 6960, 6990 |
| 3 | 3480, 3495 |
| 5 | 1160, 1165 |
| 232, 233 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 6960,6990 By Matching Biggest Common Factor Method
Now, list down the factors of 6960
:1,2,3,4,5,6,8,10,12,15,16,20,24,29,30,40,48,58,60,80,87,116,120,145,174,232,240,290,348,435,464,580,696,870,1160,1392,1740,2320,3480,6960
Now, list down the factors of 6990
:1,2,3,5,6,10,15,30,233,466,699,1165,1398,2330,3495,6990
Greatest Common Factor
We found the factors 6960,6990 . The biggest common factor number is the GCF number.
So the greatest common factor 6960,6990 is 30.
Lets's calculate LCM of 618,9380
| 2 | 618, 9380 |
| 309, 4690 |
∴ So the LCM of the given numbers is 2 x 309 x 4690 = 2898420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/2898420
Therefore, the GCF of Fractions 6960/618,6990/9380 is 30/2898420
Least Common Multiple of 618,9380 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 618,9380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,9380) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(618,9380) x common factors =2 x 1 = 2
LCM(618,9380) = ( 618 × 9380 ) / 2
LCM(618,9380) = 5796840 / 2
LCM(618,9380) = 2898420
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6960/618, 6990/9380
1. What is the HCF of 6960,6990?
The HCF of 6960,6990 is 30
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 6960/618, 6990/9380?
Answer: GCF of Numerators as per given numbers 6960/618, 6990/9380 is
GCF of Numerators i.e. for 6960,6990 is 30
LCM of denominators i.e. for 618,9380 is 2898420.
Thus, GCF of Fractions is 30/2898420.Finally, GCF of Fractions for 6960/618, 6990/9380 is 30/2898420.