GCF of 2772/689, 4034/2812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2772/689, 4034/2812 i.e 2/1937468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2772/689, 4034/2812.
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 2772/689,4034/2812?
Given fractions are 2772/689,4034/2812
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 2772/689,4034/2812, numerators are 2772,4034
Denominators are 689,2812
The GCF of 2772,4034 is 2 .
LCM of 689,2812 is 1937468.
The greatest common factor of 2772/689,4034/2812 = [GCF of 2772,4034]/[LCM of 689,2812]= 2/1937468
Therefore, the GCF of 2772/689,4034/2812 is 2/1937468.
To find the highest common factor of 2772,4034, we have to find the factors of both numbers and list the highest common factor.
The factors of 2772 are 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386, 2772
The factors of 4034 are 1, 2, 2017, 4034
The HCF of 2772,4034 is 2.
Lets's calculate GCF of 2772,4034
| 2 | 2772, 4034 |
| 1386, 2017 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2772,4034 By Matching Biggest Common Factor Method
Now, list down the factors of 2772
:1,2,3,4,6,7,9,11,12,14,18,21,22,28,33,36,42,44,63,66,77,84,99,126,132,154,198,231,252,308,396,462,693,924,1386,2772
Now, list down the factors of 4034
:1,2,2017,4034
Greatest Common Factor
We found the factors 2772,4034 . The biggest common factor number is the GCF number.
So the greatest common factor 2772,4034 is 2.
Lets's calculate LCM of 689,2812
Given numbers has no common factors except 1. So, there LCM is their product i.e 1937468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1937468
Therefore, the GCF of Fractions 2772/689,4034/2812 is 2/1937468
Least Common Multiple of 689,2812 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 689,2812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,2812) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,2812) x common factors =1 x 1 = 1
LCM(689,2812) = ( 689 × 2812 ) / 1
LCM(689,2812) = 1937468 / 1
LCM(689,2812) = 1937468
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FAQs on GCF of Fractions of 2772/689, 4034/2812
1. What is the HCF of 2772,4034?
The HCF of 2772,4034 is 2
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 2772/689, 4034/2812?
Answer: GCF of Numerators as per given numbers 2772/689, 4034/2812 is
GCF of Numerators i.e. for 2772,4034 is 2
LCM of denominators i.e. for 689,2812 is 1937468.
Thus, GCF of Fractions is 2/1937468.Finally, GCF of Fractions for 2772/689, 4034/2812 is 2/1937468.