GCF of 51/68, 352/22, 167/767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 51/68, 352/22, 167/767 i.e 1/573716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 51/68, 352/22, 167/767.
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 51/68,352/22,167/767?
Given fractions are 51/68,352/22,167/767
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 51/68,352/22,167/767, numerators are 51,352,167
Denominators are 68,22,767
The GCF of 51,352,167 is 1 .
LCM of 68,22,767 is 573716.
The greatest common factor of 51/68,352/22,167/767 = [GCF of 51,352,167]/[LCM of 68,22,767]= 1/573716
Therefore, the GCF of 51/68,352/22,167/767 is 1/573716.
To find the highest common factor of 51,352,167, we have to find the factors of both numbers and list the highest common factor.
The factors of 51 are 1, 3, 17, 51
The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
The factors of 167 are 1, 167
The HCF of 51,352,167 is 1.
Lets's calculate GCF of 51,352,167
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 51,352,167 By Matching Biggest Common Factor Method
Now, list down the factors of 51
:1,3,17,51
Now, list down the factors of 352
:1,2,4,8,11,16,22,32,44,88,176,352
Now, list down the factors of 167
:1,167
Greatest Common Factor
We found the factors 51,352,167 . The biggest common factor number is the GCF number.
So the greatest common factor 51,352,167 is 1.
Lets's calculate LCM of 68,22,767
| 2 | 68, 22, 767 |
| 34, 11, 767 |
∴ So the LCM of the given numbers is 2 x 34 x 11 x 767 = 573716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/573716
Therefore, the GCF of Fractions 51/68,352/22,167/767 is 1/573716
Least Common Multiple of 68,22,767 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 68,22,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,22,767) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(68,22,767) x common factors =1 x 2 = 2
LCM(68,22,767) = ( 68 × 22 × 767 ) / 2
LCM(68,22,767) = 1147432 / 2
LCM(68,22,767) = 573716
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FAQs on GCF of Fractions of 51/68, 352/22, 167/767
1. What is the HCF of 51,352,167?
The HCF of 51,352,167 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 51/68, 352/22, 167/767?
Answer: GCF of Numerators as per given numbers 51/68, 352/22, 167/767 is
GCF of Numerators i.e. for 51,352,167 is 1
LCM of denominators i.e. for 68,22,767 is 573716.
Thus, GCF of Fractions is 1/573716.Finally, GCF of Fractions for 51/68, 352/22, 167/767 is 1/573716.