GCF of 9067/770, 3380/152
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9067/770, 3380/152 i.e 1/58520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9067/770, 3380/152.
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 9067/770,3380/152?
Given fractions are 9067/770,3380/152
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 9067/770,3380/152, numerators are 9067,3380
Denominators are 770,152
The GCF of 9067,3380 is 1 .
LCM of 770,152 is 58520.
The greatest common factor of 9067/770,3380/152 = [GCF of 9067,3380]/[LCM of 770,152]= 1/58520
Therefore, the GCF of 9067/770,3380/152 is 1/58520.
To find the highest common factor of 9067,3380, we have to find the factors of both numbers and list the highest common factor.
The factors of 9067 are 1, 9067
The factors of 3380 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690, 3380
The HCF of 9067,3380 is 1.
Lets's calculate GCF of 9067,3380
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9067,3380 By Matching Biggest Common Factor Method
Now, list down the factors of 9067
:1,9067
Now, list down the factors of 3380
:1,2,4,5,10,13,20,26,52,65,130,169,260,338,676,845,1690,3380
Greatest Common Factor
We found the factors 9067,3380 . The biggest common factor number is the GCF number.
So the greatest common factor 9067,3380 is 1.
Lets's calculate LCM of 770,152
| 2 | 770, 152 |
| 385, 76 |
∴ So the LCM of the given numbers is 2 x 385 x 76 = 58520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58520
Therefore, the GCF of Fractions 9067/770,3380/152 is 1/58520
Least Common Multiple of 770,152 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 770,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,152) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(770,152) x common factors =2 x 1 = 2
LCM(770,152) = ( 770 × 152 ) / 2
LCM(770,152) = 117040 / 2
LCM(770,152) = 58520
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9067/770, 3380/152
1. What is the HCF of 9067,3380?
The HCF of 9067,3380 is 1
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 9067/770, 3380/152?
Answer: GCF of Numerators as per given numbers 9067/770, 3380/152 is
GCF of Numerators i.e. for 9067,3380 is 1
LCM of denominators i.e. for 770,152 is 58520.
Thus, GCF of Fractions is 1/58520.Finally, GCF of Fractions for 9067/770, 3380/152 is 1/58520.