GCF of 55/778, 71/836, 222/418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 55/778, 71/836, 222/418 i.e 1/325204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 55/778, 71/836, 222/418.
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 55/778,71/836,222/418?
Given fractions are 55/778,71/836,222/418
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 55/778,71/836,222/418, numerators are 55,71,222
Denominators are 778,836,418
The GCF of 55,71,222 is 1 .
LCM of 778,836,418 is 325204.
The greatest common factor of 55/778,71/836,222/418 = [GCF of 55,71,222]/[LCM of 778,836,418]= 1/325204
Therefore, the GCF of 55/778,71/836,222/418 is 1/325204.
To find the highest common factor of 55,71,222, we have to find the factors of both numbers and list the highest common factor.
The factors of 55 are 1, 5, 11, 55
The factors of 71 are 1, 71
The factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222
The HCF of 55,71,222 is 1.
Lets's calculate GCF of 55,71,222
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 55,71,222 By Matching Biggest Common Factor Method
Now, list down the factors of 55
:1,5,11,55
Now, list down the factors of 71
:1,71
Now, list down the factors of 222
:1,2,3,6,37,74,111,222
Greatest Common Factor
We found the factors 55,71,222 . The biggest common factor number is the GCF number.
So the greatest common factor 55,71,222 is 1.
Lets's calculate LCM of 778,836,418
| 2 | 778, 836, 418 |
| 11 | 389, 418, 209 |
| 19 | 389, 38, 19 |
| 389, 2, 1 |
∴ So the LCM of the given numbers is 2 x 11 x 19 x 389 x 2 x 1 = 325204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/325204
Therefore, the GCF of Fractions 55/778,71/836,222/418 is 1/325204
Least Common Multiple of 778,836,418 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 778,836,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,836,418) = 2
common factors(in case of two or more numbers have common factors) = 418
GCF(778,836,418) x common factors =2 x 418 = 836
LCM(778,836,418) = ( 778 × 836 × 418 ) / 836
LCM(778,836,418) = 271870544 / 836
LCM(778,836,418) = 325204
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FAQs on GCF of Fractions of 55/778, 71/836, 222/418
1. What is the HCF of 55,71,222?
The HCF of 55,71,222 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 55/778, 71/836, 222/418?
Answer: GCF of Numerators as per given numbers 55/778, 71/836, 222/418 is
GCF of Numerators i.e. for 55,71,222 is 1
LCM of denominators i.e. for 778,836,418 is 325204.
Thus, GCF of Fractions is 1/325204.Finally, GCF of Fractions for 55/778, 71/836, 222/418 is 1/325204.