GCF of 2772/675, 7072/1980
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2772/675, 7072/1980 i.e 4/29700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2772/675, 7072/1980.
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 2772/675,7072/1980?
Given fractions are 2772/675,7072/1980
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 2772/675,7072/1980, numerators are 2772,7072
Denominators are 675,1980
The GCF of 2772,7072 is 4 .
LCM of 675,1980 is 29700.
The greatest common factor of 2772/675,7072/1980 = [GCF of 2772,7072]/[LCM of 675,1980]= 4/29700
Therefore, the GCF of 2772/675,7072/1980 is 4/29700.
To find the highest common factor of 2772,7072, 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 7072 are 1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221, 272, 416, 442, 544, 884, 1768, 3536, 7072
The HCF of 2772,7072 is 4.
Lets's calculate GCF of 2772,7072
| 2 | 2772, 7072 |
| 2 | 1386, 3536 |
| 693, 1768 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2772,7072 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 7072
:1,2,4,8,13,16,17,26,32,34,52,68,104,136,208,221,272,416,442,544,884,1768,3536,7072
Greatest Common Factor
We found the factors 2772,7072 . The biggest common factor number is the GCF number.
So the greatest common factor 2772,7072 is 4.
Lets's calculate LCM of 675,1980
| 3 | 675, 1980 |
| 3 | 225, 660 |
| 5 | 75, 220 |
| 15, 44 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 15 x 44 = 29700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/29700
Therefore, the GCF of Fractions 2772/675,7072/1980 is 4/29700
Least Common Multiple of 675,1980 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 675,1980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,1980) = 45
common factors(in case of two or more numbers have common factors) = 1
GCF(675,1980) x common factors =45 x 1 = 45
LCM(675,1980) = ( 675 × 1980 ) / 45
LCM(675,1980) = 1336500 / 45
LCM(675,1980) = 29700
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FAQs on GCF of Fractions of 2772/675, 7072/1980
1. What is the HCF of 2772,7072?
The HCF of 2772,7072 is 4
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 2772/675, 7072/1980?
Answer: GCF of Numerators as per given numbers 2772/675, 7072/1980 is
GCF of Numerators i.e. for 2772,7072 is 4
LCM of denominators i.e. for 675,1980 is 29700.
Thus, GCF of Fractions is 4/29700.Finally, GCF of Fractions for 2772/675, 7072/1980 is 4/29700.