GCF of 34/15, 90/752, 336/690
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/15, 90/752, 336/690 i.e 2/259440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/15, 90/752, 336/690.
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 34/15,90/752,336/690?
Given fractions are 34/15,90/752,336/690
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 34/15,90/752,336/690, numerators are 34,90,336
Denominators are 15,752,690
The GCF of 34,90,336 is 2 .
LCM of 15,752,690 is 259440.
The greatest common factor of 34/15,90/752,336/690 = [GCF of 34,90,336]/[LCM of 15,752,690]= 2/259440
Therefore, the GCF of 34/15,90/752,336/690 is 2/259440.
To find the highest common factor of 34,90,336, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
The HCF of 34,90,336 is 2.
Lets's calculate GCF of 34,90,336
| 2 | 34, 90, 336 |
| 17, 45, 168 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 34,90,336 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 90
:1,2,3,5,6,9,10,15,18,30,45,90
Now, list down the factors of 336
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 34,90,336 . The biggest common factor number is the GCF number.
So the greatest common factor 34,90,336 is 2.
Lets's calculate LCM of 15,752,690
| 2 | 15, 752, 690 |
| 3 | 15, 376, 345 |
| 5 | 5, 376, 115 |
| 1, 376, 23 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 376 x 23 = 259440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/259440
Therefore, the GCF of Fractions 34/15,90/752,336/690 is 2/259440
Least Common Multiple of 15,752,690 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 15,752,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,752,690) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(15,752,690) x common factors =1 x 30 = 30
LCM(15,752,690) = ( 15 × 752 × 690 ) / 30
LCM(15,752,690) = 7783200 / 30
LCM(15,752,690) = 259440
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FAQs on GCF of Fractions of 34/15, 90/752, 336/690
1. What is the HCF of 34,90,336?
The HCF of 34,90,336 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 34/15, 90/752, 336/690?
Answer: GCF of Numerators as per given numbers 34/15, 90/752, 336/690 is
GCF of Numerators i.e. for 34,90,336 is 2
LCM of denominators i.e. for 15,752,690 is 259440.
Thus, GCF of Fractions is 2/259440.Finally, GCF of Fractions for 34/15, 90/752, 336/690 is 2/259440.