GCF of 167/342, 778/114, 853/538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 167/342, 778/114, 853/538 i.e 1/91998 easily. The following is the detailed procedure to determine the greatest common factor of fractions 167/342, 778/114, 853/538.
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 167/342,778/114,853/538?
Given fractions are 167/342,778/114,853/538
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 167/342,778/114,853/538, numerators are 167,778,853
Denominators are 342,114,538
The GCF of 167,778,853 is 1 .
LCM of 342,114,538 is 91998.
The greatest common factor of 167/342,778/114,853/538 = [GCF of 167,778,853]/[LCM of 342,114,538]= 1/91998
Therefore, the GCF of 167/342,778/114,853/538 is 1/91998.
To find the highest common factor of 167,778,853, we have to find the factors of both numbers and list the highest common factor.
The factors of 167 are 1, 167
The factors of 778 are 1, 2, 389, 778
The factors of 853 are 1, 853
The HCF of 167,778,853 is 1.
Lets's calculate GCF of 167,778,853
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 167,778,853 By Matching Biggest Common Factor Method
Now, list down the factors of 167
:1,167
Now, list down the factors of 778
:1,2,389,778
Now, list down the factors of 853
:1,853
Greatest Common Factor
We found the factors 167,778,853 . The biggest common factor number is the GCF number.
So the greatest common factor 167,778,853 is 1.
Lets's calculate LCM of 342,114,538
| 2 | 342, 114, 538 |
| 3 | 171, 57, 269 |
| 19 | 19, 57, 269 |
| 1, 3, 269 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 1 x 3 x 269 = 91998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91998
Therefore, the GCF of Fractions 167/342,778/114,853/538 is 1/91998
Least Common Multiple of 342,114,538 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 342,114,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,114,538) = 2
common factors(in case of two or more numbers have common factors) = 114
GCF(342,114,538) x common factors =2 x 114 = 228
LCM(342,114,538) = ( 342 × 114 × 538 ) / 228
LCM(342,114,538) = 20975544 / 228
LCM(342,114,538) = 91998
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FAQs on GCF of Fractions of 167/342, 778/114, 853/538
1. What is the HCF of 167,778,853?
The HCF of 167,778,853 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 167/342, 778/114, 853/538?
Answer: GCF of Numerators as per given numbers 167/342, 778/114, 853/538 is
GCF of Numerators i.e. for 167,778,853 is 1
LCM of denominators i.e. for 342,114,538 is 91998.
Thus, GCF of Fractions is 1/91998.Finally, GCF of Fractions for 167/342, 778/114, 853/538 is 1/91998.