GCF of 88/176, 46/167, 786/781
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 88/176, 46/167, 786/781 i.e 2/2086832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 88/176, 46/167, 786/781.
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 88/176,46/167,786/781?
Given fractions are 88/176,46/167,786/781
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 88/176,46/167,786/781, numerators are 88,46,786
Denominators are 176,167,781
The GCF of 88,46,786 is 2 .
LCM of 176,167,781 is 2086832.
The greatest common factor of 88/176,46/167,786/781 = [GCF of 88,46,786]/[LCM of 176,167,781]= 2/2086832
Therefore, the GCF of 88/176,46/167,786/781 is 2/2086832.
To find the highest common factor of 88,46,786, we have to find the factors of both numbers and list the highest common factor.
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88
The factors of 46 are 1, 2, 23, 46
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The HCF of 88,46,786 is 2.
Lets's calculate GCF of 88,46,786
| 2 | 88, 46, 786 |
| 44, 23, 393 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 88,46,786 By Matching Biggest Common Factor Method
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
Now, list down the factors of 46
:1,2,23,46
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 88,46,786 . The biggest common factor number is the GCF number.
So the greatest common factor 88,46,786 is 2.
Lets's calculate LCM of 176,167,781
| 11 | 176, 167, 781 |
| 16, 167, 71 |
∴ So the LCM of the given numbers is 11 x 16 x 167 x 71 = 2086832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2086832
Therefore, the GCF of Fractions 88/176,46/167,786/781 is 2/2086832
Least Common Multiple of 176,167,781 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 176,167,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,167,781) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(176,167,781) x common factors =1 x 11 = 11
LCM(176,167,781) = ( 176 × 167 × 781 ) / 11
LCM(176,167,781) = 22955152 / 11
LCM(176,167,781) = 2086832
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FAQs on GCF of Fractions of 88/176, 46/167, 786/781
1. What is the HCF of 88,46,786?
The HCF of 88,46,786 is 2
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 88/176, 46/167, 786/781?
Answer: GCF of Numerators as per given numbers 88/176, 46/167, 786/781 is
GCF of Numerators i.e. for 88,46,786 is 2
LCM of denominators i.e. for 176,167,781 is 2086832.
Thus, GCF of Fractions is 2/2086832.Finally, GCF of Fractions for 88/176, 46/167, 786/781 is 2/2086832.