GCF of 737/234, 2772/7056
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 737/234, 2772/7056 i.e 11/91728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 737/234, 2772/7056.
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 737/234,2772/7056?
Given fractions are 737/234,2772/7056
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 737/234,2772/7056, numerators are 737,2772
Denominators are 234,7056
The GCF of 737,2772 is 11 .
LCM of 234,7056 is 91728.
The greatest common factor of 737/234,2772/7056 = [GCF of 737,2772]/[LCM of 234,7056]= 11/91728
Therefore, the GCF of 737/234,2772/7056 is 11/91728.
To find the highest common factor of 737,2772, we have to find the factors of both numbers and list the highest common factor.
The factors of 737 are 1, 11, 67, 737
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 HCF of 737,2772 is 11.
Lets's calculate GCF of 737,2772
| 11 | 737, 2772 |
| 67, 252 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 737,2772 By Matching Biggest Common Factor Method
Now, list down the factors of 737
:1,11,67,737
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
Greatest Common Factor
We found the factors 737,2772 . The biggest common factor number is the GCF number.
So the greatest common factor 737,2772 is 11.
Lets's calculate LCM of 234,7056
| 2 | 234, 7056 |
| 3 | 117, 3528 |
| 3 | 39, 1176 |
| 13, 392 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 392 = 91728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/91728
Therefore, the GCF of Fractions 737/234,2772/7056 is 11/91728
Least Common Multiple of 234,7056 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 234,7056 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,7056) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(234,7056) x common factors =18 x 1 = 18
LCM(234,7056) = ( 234 × 7056 ) / 18
LCM(234,7056) = 1651104 / 18
LCM(234,7056) = 91728
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FAQs on GCF of Fractions of 737/234, 2772/7056
1. What is the HCF of 737,2772?
The HCF of 737,2772 is 11
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 737/234, 2772/7056?
Answer: GCF of Numerators as per given numbers 737/234, 2772/7056 is
GCF of Numerators i.e. for 737,2772 is 11
LCM of denominators i.e. for 234,7056 is 91728.
Thus, GCF of Fractions is 11/91728.Finally, GCF of Fractions for 737/234, 2772/7056 is 11/91728.