GCF of 6983/436, 7770/2104
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6983/436, 7770/2104 i.e 1/229336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6983/436, 7770/2104.
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 6983/436,7770/2104?
Given fractions are 6983/436,7770/2104
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 6983/436,7770/2104, numerators are 6983,7770
Denominators are 436,2104
The GCF of 6983,7770 is 1 .
LCM of 436,2104 is 229336.
The greatest common factor of 6983/436,7770/2104 = [GCF of 6983,7770]/[LCM of 436,2104]= 1/229336
Therefore, the GCF of 6983/436,7770/2104 is 1/229336.
To find the highest common factor of 6983,7770, we have to find the factors of both numbers and list the highest common factor.
The factors of 6983 are 1, 6983
The factors of 7770 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 37, 42, 70, 74, 105, 111, 185, 210, 222, 259, 370, 518, 555, 777, 1110, 1295, 1554, 2590, 3885, 7770
The HCF of 6983,7770 is 1.
Lets's calculate GCF of 6983,7770
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6983,7770 By Matching Biggest Common Factor Method
Now, list down the factors of 6983
:1,6983
Now, list down the factors of 7770
:1,2,3,5,6,7,10,14,15,21,30,35,37,42,70,74,105,111,185,210,222,259,370,518,555,777,1110,1295,1554,2590,3885,7770
Greatest Common Factor
We found the factors 6983,7770 . The biggest common factor number is the GCF number.
So the greatest common factor 6983,7770 is 1.
Lets's calculate LCM of 436,2104
| 2 | 436, 2104 |
| 2 | 218, 1052 |
| 109, 526 |
∴ So the LCM of the given numbers is 2 x 2 x 109 x 526 = 229336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/229336
Therefore, the GCF of Fractions 6983/436,7770/2104 is 1/229336
Least Common Multiple of 436,2104 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 436,2104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,2104) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(436,2104) x common factors =4 x 1 = 4
LCM(436,2104) = ( 436 × 2104 ) / 4
LCM(436,2104) = 917344 / 4
LCM(436,2104) = 229336
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FAQs on GCF of Fractions of 6983/436, 7770/2104
1. What is the HCF of 6983,7770?
The HCF of 6983,7770 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 6983/436, 7770/2104?
Answer: GCF of Numerators as per given numbers 6983/436, 7770/2104 is
GCF of Numerators i.e. for 6983,7770 is 1
LCM of denominators i.e. for 436,2104 is 229336.
Thus, GCF of Fractions is 1/229336.Finally, GCF of Fractions for 6983/436, 7770/2104 is 1/229336.