GCF of 88/912, 158/584, 352/342
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 88/912, 158/584, 352/342 i.e 2/199728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 88/912, 158/584, 352/342.
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 88/912,158/584,352/342?
Given fractions are 88/912,158/584,352/342
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 88/912,158/584,352/342, numerators are 88,158,352
Denominators are 912,584,342
The GCF of 88,158,352 is 2 .
LCM of 912,584,342 is 199728.
The greatest common factor of 88/912,158/584,352/342 = [GCF of 88,158,352]/[LCM of 912,584,342]= 2/199728
Therefore, the GCF of 88/912,158/584,352/342 is 2/199728.
To find the highest common factor of 88,158,352, 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 158 are 1, 2, 79, 158
The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
The HCF of 88,158,352 is 2.
Lets's calculate GCF of 88,158,352
| 2 | 88, 158, 352 |
| 44, 79, 176 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 88,158,352 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 158
:1,2,79,158
Now, list down the factors of 352
:1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 88,158,352 . The biggest common factor number is the GCF number.
So the greatest common factor 88,158,352 is 2.
Lets's calculate LCM of 912,584,342
| 2 | 912, 584, 342 |
| 2 | 456, 292, 171 |
| 2 | 228, 146, 171 |
| 3 | 114, 73, 171 |
| 19 | 38, 73, 57 |
| 2, 73, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 2 x 73 x 3 = 199728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/199728
Therefore, the GCF of Fractions 88/912,158/584,352/342 is 2/199728
Least Common Multiple of 912,584,342 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 912,584,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,584,342) = 2
common factors(in case of two or more numbers have common factors) = 456
GCF(912,584,342) x common factors =2 x 456 = 912
LCM(912,584,342) = ( 912 × 584 × 342 ) / 912
LCM(912,584,342) = 182151936 / 912
LCM(912,584,342) = 199728
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FAQs on GCF of Fractions of 88/912, 158/584, 352/342
1. What is the HCF of 88,158,352?
The HCF of 88,158,352 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 88/912, 158/584, 352/342?
Answer: GCF of Numerators as per given numbers 88/912, 158/584, 352/342 is
GCF of Numerators i.e. for 88,158,352 is 2
LCM of denominators i.e. for 912,584,342 is 199728.
Thus, GCF of Fractions is 2/199728.Finally, GCF of Fractions for 88/912, 158/584, 352/342 is 2/199728.