GCF of 34/98, 50/51, 948/932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/98, 50/51, 948/932 i.e 2/2329068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/98, 50/51, 948/932.
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 34/98,50/51,948/932?
Given fractions are 34/98,50/51,948/932
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 34/98,50/51,948/932, numerators are 34,50,948
Denominators are 98,51,932
The GCF of 34,50,948 is 2 .
LCM of 98,51,932 is 2329068.
The greatest common factor of 34/98,50/51,948/932 = [GCF of 34,50,948]/[LCM of 98,51,932]= 2/2329068
Therefore, the GCF of 34/98,50/51,948/932 is 2/2329068.
To find the highest common factor of 34,50,948, 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 50 are 1, 2, 5, 10, 25, 50
The factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
The HCF of 34,50,948 is 2.
Lets's calculate GCF of 34,50,948
| 2 | 34, 50, 948 |
| 17, 25, 474 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 34,50,948 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 948
:1,2,3,4,6,12,79,158,237,316,474,948
Greatest Common Factor
We found the factors 34,50,948 . The biggest common factor number is the GCF number.
So the greatest common factor 34,50,948 is 2.
Lets's calculate LCM of 98,51,932
| 2 | 98, 51, 932 |
| 49, 51, 466 |
∴ So the LCM of the given numbers is 2 x 49 x 51 x 466 = 2329068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2329068
Therefore, the GCF of Fractions 34/98,50/51,948/932 is 2/2329068
Least Common Multiple of 98,51,932 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 98,51,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,51,932) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,51,932) x common factors =1 x 2 = 2
LCM(98,51,932) = ( 98 × 51 × 932 ) / 2
LCM(98,51,932) = 4658136 / 2
LCM(98,51,932) = 2329068
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FAQs on GCF of Fractions of 34/98, 50/51, 948/932
1. What is the HCF of 34,50,948?
The HCF of 34,50,948 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 34/98, 50/51, 948/932?
Answer: GCF of Numerators as per given numbers 34/98, 50/51, 948/932 is
GCF of Numerators i.e. for 34,50,948 is 2
LCM of denominators i.e. for 98,51,932 is 2329068.
Thus, GCF of Fractions is 2/2329068.Finally, GCF of Fractions for 34/98, 50/51, 948/932 is 2/2329068.