GCF of 2782/270, 1072/8890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2782/270, 1072/8890 i.e 2/240030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2782/270, 1072/8890.
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 2782/270,1072/8890?
Given fractions are 2782/270,1072/8890
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 2782/270,1072/8890, numerators are 2782,1072
Denominators are 270,8890
The GCF of 2782,1072 is 2 .
LCM of 270,8890 is 240030.
The greatest common factor of 2782/270,1072/8890 = [GCF of 2782,1072]/[LCM of 270,8890]= 2/240030
Therefore, the GCF of 2782/270,1072/8890 is 2/240030.
To find the highest common factor of 2782,1072, we have to find the factors of both numbers and list the highest common factor.
The factors of 2782 are 1, 2, 13, 26, 107, 214, 1391, 2782
The factors of 1072 are 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072
The HCF of 2782,1072 is 2.
Lets's calculate GCF of 2782,1072
| 2 | 2782, 1072 |
| 1391, 536 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2782,1072 By Matching Biggest Common Factor Method
Now, list down the factors of 2782
:1,2,13,26,107,214,1391,2782
Now, list down the factors of 1072
:1,2,4,8,16,67,134,268,536,1072
Greatest Common Factor
We found the factors 2782,1072 . The biggest common factor number is the GCF number.
So the greatest common factor 2782,1072 is 2.
Lets's calculate LCM of 270,8890
| 2 | 270, 8890 |
| 5 | 135, 4445 |
| 27, 889 |
∴ So the LCM of the given numbers is 2 x 5 x 27 x 889 = 240030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/240030
Therefore, the GCF of Fractions 2782/270,1072/8890 is 2/240030
Least Common Multiple of 270,8890 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 270,8890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,8890) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(270,8890) x common factors =10 x 1 = 10
LCM(270,8890) = ( 270 × 8890 ) / 10
LCM(270,8890) = 2400300 / 10
LCM(270,8890) = 240030
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FAQs on GCF of Fractions of 2782/270, 1072/8890
1. What is the HCF of 2782,1072?
The HCF of 2782,1072 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 2782/270, 1072/8890?
Answer: GCF of Numerators as per given numbers 2782/270, 1072/8890 is
GCF of Numerators i.e. for 2782,1072 is 2
LCM of denominators i.e. for 270,8890 is 240030.
Thus, GCF of Fractions is 2/240030.Finally, GCF of Fractions for 2782/270, 1072/8890 is 2/240030.