GCF of 2804/660, 2067/7140
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2804/660, 2067/7140 i.e 1/78540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2804/660, 2067/7140.
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 2804/660,2067/7140?
Given fractions are 2804/660,2067/7140
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 2804/660,2067/7140, numerators are 2804,2067
Denominators are 660,7140
The GCF of 2804,2067 is 1 .
LCM of 660,7140 is 78540.
The greatest common factor of 2804/660,2067/7140 = [GCF of 2804,2067]/[LCM of 660,7140]= 1/78540
Therefore, the GCF of 2804/660,2067/7140 is 1/78540.
To find the highest common factor of 2804,2067, we have to find the factors of both numbers and list the highest common factor.
The factors of 2804 are 1, 2, 4, 701, 1402, 2804
The factors of 2067 are 1, 3, 13, 39, 53, 159, 689, 2067
The HCF of 2804,2067 is 1.
Lets's calculate GCF of 2804,2067
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2804,2067 By Matching Biggest Common Factor Method
Now, list down the factors of 2804
:1,2,4,701,1402,2804
Now, list down the factors of 2067
:1,3,13,39,53,159,689,2067
Greatest Common Factor
We found the factors 2804,2067 . The biggest common factor number is the GCF number.
So the greatest common factor 2804,2067 is 1.
Lets's calculate LCM of 660,7140
| 2 | 660, 7140 |
| 2 | 330, 3570 |
| 3 | 165, 1785 |
| 5 | 55, 595 |
| 11, 119 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 11 x 119 = 78540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78540
Therefore, the GCF of Fractions 2804/660,2067/7140 is 1/78540
Least Common Multiple of 660,7140 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 660,7140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,7140) = 60
common factors(in case of two or more numbers have common factors) = 1
GCF(660,7140) x common factors =60 x 1 = 60
LCM(660,7140) = ( 660 × 7140 ) / 60
LCM(660,7140) = 4712400 / 60
LCM(660,7140) = 78540
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FAQs on GCF of Fractions of 2804/660, 2067/7140
1. What is the HCF of 2804,2067?
The HCF of 2804,2067 is 1
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 2804/660, 2067/7140?
Answer: GCF of Numerators as per given numbers 2804/660, 2067/7140 is
GCF of Numerators i.e. for 2804,2067 is 1
LCM of denominators i.e. for 660,7140 is 78540.
Thus, GCF of Fractions is 1/78540.Finally, GCF of Fractions for 2804/660, 2067/7140 is 1/78540.