GCF of 278/777, 869/111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 278/777, 869/111 i.e 1/777 easily. The following is the detailed procedure to determine the greatest common factor of fractions 278/777, 869/111.
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 278/777,869/111?
Given fractions are 278/777,869/111
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 278/777,869/111, numerators are 278,869
Denominators are 777,111
The GCF of 278,869 is 1 .
LCM of 777,111 is 777.
The greatest common factor of 278/777,869/111 = [GCF of 278,869]/[LCM of 777,111]= 1/777
Therefore, the GCF of 278/777,869/111 is 1/777.
To find the highest common factor of 278,869, we have to find the factors of both numbers and list the highest common factor.
The factors of 278 are 1, 2, 139, 278
The factors of 869 are 1, 11, 79, 869
The HCF of 278,869 is 1.
Lets's calculate GCF of 278,869
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 278,869 By Matching Biggest Common Factor Method
Now, list down the factors of 278
:1,2,139,278
Now, list down the factors of 869
:1,11,79,869
Greatest Common Factor
We found the factors 278,869 . The biggest common factor number is the GCF number.
So the greatest common factor 278,869 is 1.
Lets's calculate LCM of 777,111
| 3 | 777, 111 |
| 37 | 259, 37 |
| 7, 1 |
∴ So the LCM of the given numbers is 3 x 37 x 7 x 1 = 777
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/777
Therefore, the GCF of Fractions 278/777,869/111 is 1/777
Least Common Multiple of 777,111 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 777,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,111) = 111
common factors(in case of two or more numbers have common factors) = 1
GCF(777,111) x common factors =111 x 1 = 111
LCM(777,111) = ( 777 × 111 ) / 111
LCM(777,111) = 86247 / 111
LCM(777,111) = 777
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FAQs on GCF of Fractions of 278/777, 869/111
1. What is the HCF of 278,869?
The HCF of 278,869 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 278/777, 869/111?
Answer: GCF of Numerators as per given numbers 278/777, 869/111 is
GCF of Numerators i.e. for 278,869 is 1
LCM of denominators i.e. for 777,111 is 777.
Thus, GCF of Fractions is 1/777.Finally, GCF of Fractions for 278/777, 869/111 is 1/777.