GCF of 2790/841, 7680/1462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2790/841, 7680/1462 i.e 30/1229542 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2790/841, 7680/1462.
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 2790/841,7680/1462?
Given fractions are 2790/841,7680/1462
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 2790/841,7680/1462, numerators are 2790,7680
Denominators are 841,1462
The GCF of 2790,7680 is 30 .
LCM of 841,1462 is 1229542.
The greatest common factor of 2790/841,7680/1462 = [GCF of 2790,7680]/[LCM of 841,1462]= 30/1229542
Therefore, the GCF of 2790/841,7680/1462 is 30/1229542.
To find the highest common factor of 2790,7680, we have to find the factors of both numbers and list the highest common factor.
The factors of 2790 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 31, 45, 62, 90, 93, 155, 186, 279, 310, 465, 558, 930, 1395, 2790
The factors of 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680
The HCF of 2790,7680 is 30.
Lets's calculate GCF of 2790,7680
| 2 | 2790, 7680 |
| 3 | 1395, 3840 |
| 5 | 465, 1280 |
| 93, 256 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 2790,7680 By Matching Biggest Common Factor Method
Now, list down the factors of 2790
:1,2,3,5,6,9,10,15,18,30,31,45,62,90,93,155,186,279,310,465,558,930,1395,2790
Now, list down the factors of 7680
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,512,640,768,960,1280,1536,1920,2560,3840,7680
Greatest Common Factor
We found the factors 2790,7680 . The biggest common factor number is the GCF number.
So the greatest common factor 2790,7680 is 30.
Lets's calculate LCM of 841,1462
Given numbers has no common factors except 1. So, there LCM is their product i.e 1229542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/1229542
Therefore, the GCF of Fractions 2790/841,7680/1462 is 30/1229542
Least Common Multiple of 841,1462 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 841,1462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,1462) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,1462) x common factors =1 x 1 = 1
LCM(841,1462) = ( 841 × 1462 ) / 1
LCM(841,1462) = 1229542 / 1
LCM(841,1462) = 1229542
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2790/841, 7680/1462
1. What is the HCF of 2790,7680?
The HCF of 2790,7680 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 2790/841, 7680/1462?
Answer: GCF of Numerators as per given numbers 2790/841, 7680/1462 is
GCF of Numerators i.e. for 2790,7680 is 30
LCM of denominators i.e. for 841,1462 is 1229542.
Thus, GCF of Fractions is 30/1229542.Finally, GCF of Fractions for 2790/841, 7680/1462 is 30/1229542.