GCF of 1072/454, 7680/966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1072/454, 7680/966 i.e 16/219282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1072/454, 7680/966.
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 1072/454,7680/966?
Given fractions are 1072/454,7680/966
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 1072/454,7680/966, numerators are 1072,7680
Denominators are 454,966
The GCF of 1072,7680 is 16 .
LCM of 454,966 is 219282.
The greatest common factor of 1072/454,7680/966 = [GCF of 1072,7680]/[LCM of 454,966]= 16/219282
Therefore, the GCF of 1072/454,7680/966 is 16/219282.
To find the highest common factor of 1072,7680, we have to find the factors of both numbers and list the highest common factor.
The factors of 1072 are 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072
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 1072,7680 is 16.
Lets's calculate GCF of 1072,7680
| 2 | 1072, 7680 |
| 2 | 536, 3840 |
| 2 | 268, 1920 |
| 2 | 134, 960 |
| 67, 480 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 1072,7680 By Matching Biggest Common Factor Method
Now, list down the factors of 1072
:1,2,4,8,16,67,134,268,536,1072
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 1072,7680 . The biggest common factor number is the GCF number.
So the greatest common factor 1072,7680 is 16.
Lets's calculate LCM of 454,966
| 2 | 454, 966 |
| 227, 483 |
∴ So the LCM of the given numbers is 2 x 227 x 483 = 219282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/219282
Therefore, the GCF of Fractions 1072/454,7680/966 is 16/219282
Least Common Multiple of 454,966 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 454,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,966) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,966) x common factors =2 x 1 = 2
LCM(454,966) = ( 454 × 966 ) / 2
LCM(454,966) = 438564 / 2
LCM(454,966) = 219282
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FAQs on GCF of Fractions of 1072/454, 7680/966
1. What is the HCF of 1072,7680?
The HCF of 1072,7680 is 16
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 1072/454, 7680/966?
Answer: GCF of Numerators as per given numbers 1072/454, 7680/966 is
GCF of Numerators i.e. for 1072,7680 is 16
LCM of denominators i.e. for 454,966 is 219282.
Thus, GCF of Fractions is 16/219282.Finally, GCF of Fractions for 1072/454, 7680/966 is 16/219282.