GCF of 7798/209, 2107/6854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7798/209, 2107/6854 i.e 7/1432486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7798/209, 2107/6854.
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 7798/209,2107/6854?
Given fractions are 7798/209,2107/6854
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 7798/209,2107/6854, numerators are 7798,2107
Denominators are 209,6854
The GCF of 7798,2107 is 7 .
LCM of 209,6854 is 1432486.
The greatest common factor of 7798/209,2107/6854 = [GCF of 7798,2107]/[LCM of 209,6854]= 7/1432486
Therefore, the GCF of 7798/209,2107/6854 is 7/1432486.
To find the highest common factor of 7798,2107, we have to find the factors of both numbers and list the highest common factor.
The factors of 7798 are 1, 2, 7, 14, 557, 1114, 3899, 7798
The factors of 2107 are 1, 7, 43, 49, 301, 2107
The HCF of 7798,2107 is 7.
Lets's calculate GCF of 7798,2107
| 7 | 7798, 2107 |
| 1114, 301 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7798,2107 By Matching Biggest Common Factor Method
Now, list down the factors of 7798
:1,2,7,14,557,1114,3899,7798
Now, list down the factors of 2107
:1,7,43,49,301,2107
Greatest Common Factor
We found the factors 7798,2107 . The biggest common factor number is the GCF number.
So the greatest common factor 7798,2107 is 7.
Lets's calculate LCM of 209,6854
Given numbers has no common factors except 1. So, there LCM is their product i.e 1432486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1432486
Therefore, the GCF of Fractions 7798/209,2107/6854 is 7/1432486
Least Common Multiple of 209,6854 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 209,6854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,6854) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,6854) x common factors =1 x 1 = 1
LCM(209,6854) = ( 209 × 6854 ) / 1
LCM(209,6854) = 1432486 / 1
LCM(209,6854) = 1432486
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FAQs on GCF of Fractions of 7798/209, 2107/6854
1. What is the HCF of 7798,2107?
The HCF of 7798,2107 is 7
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 7798/209, 2107/6854?
Answer: GCF of Numerators as per given numbers 7798/209, 2107/6854 is
GCF of Numerators i.e. for 7798,2107 is 7
LCM of denominators i.e. for 209,6854 is 1432486.
Thus, GCF of Fractions is 7/1432486.Finally, GCF of Fractions for 7798/209, 2107/6854 is 7/1432486.