GCF of 9123/688, 3120/785
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9123/688, 3120/785 i.e 3/540080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9123/688, 3120/785.
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 9123/688,3120/785?
Given fractions are 9123/688,3120/785
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 9123/688,3120/785, numerators are 9123,3120
Denominators are 688,785
The GCF of 9123,3120 is 3 .
LCM of 688,785 is 540080.
The greatest common factor of 9123/688,3120/785 = [GCF of 9123,3120]/[LCM of 688,785]= 3/540080
Therefore, the GCF of 9123/688,3120/785 is 3/540080.
To find the highest common factor of 9123,3120, we have to find the factors of both numbers and list the highest common factor.
The factors of 9123 are 1, 3, 3041, 9123
The factors of 3120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 39, 40, 48, 52, 60, 65, 78, 80, 104, 120, 130, 156, 195, 208, 240, 260, 312, 390, 520, 624, 780, 1040, 1560, 3120
The HCF of 9123,3120 is 3.
Lets's calculate GCF of 9123,3120
| 3 | 9123, 3120 |
| 3041, 1040 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9123,3120 By Matching Biggest Common Factor Method
Now, list down the factors of 9123
:1,3,3041,9123
Now, list down the factors of 3120
:1,2,3,4,5,6,8,10,12,13,15,16,20,24,26,30,39,40,48,52,60,65,78,80,104,120,130,156,195,208,240,260,312,390,520,624,780,1040,1560,3120
Greatest Common Factor
We found the factors 9123,3120 . The biggest common factor number is the GCF number.
So the greatest common factor 9123,3120 is 3.
Lets's calculate LCM of 688,785
Given numbers has no common factors except 1. So, there LCM is their product i.e 540080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/540080
Therefore, the GCF of Fractions 9123/688,3120/785 is 3/540080
Least Common Multiple of 688,785 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 688,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,785) x common factors =1 x 1 = 1
LCM(688,785) = ( 688 × 785 ) / 1
LCM(688,785) = 540080 / 1
LCM(688,785) = 540080
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FAQs on GCF of Fractions of 9123/688, 3120/785
1. What is the HCF of 9123,3120?
The HCF of 9123,3120 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 9123/688, 3120/785?
Answer: GCF of Numerators as per given numbers 9123/688, 3120/785 is
GCF of Numerators i.e. for 9123,3120 is 3
LCM of denominators i.e. for 688,785 is 540080.
Thus, GCF of Fractions is 3/540080.Finally, GCF of Fractions for 9123/688, 3120/785 is 3/540080.