GCF of 34/141, 70/837, 245/818
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/141, 70/837, 245/818 i.e 1/32179302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/141, 70/837, 245/818.
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 34/141,70/837,245/818?
Given fractions are 34/141,70/837,245/818
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 34/141,70/837,245/818, numerators are 34,70,245
Denominators are 141,837,818
The GCF of 34,70,245 is 1 .
LCM of 141,837,818 is 32179302.
The greatest common factor of 34/141,70/837,245/818 = [GCF of 34,70,245]/[LCM of 141,837,818]= 1/32179302
Therefore, the GCF of 34/141,70/837,245/818 is 1/32179302.
To find the highest common factor of 34,70,245, 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 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 245 are 1, 5, 7, 35, 49, 245
The HCF of 34,70,245 is 1.
Lets's calculate GCF of 34,70,245
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,70,245 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 245
:1,5,7,35,49,245
Greatest Common Factor
We found the factors 34,70,245 . The biggest common factor number is the GCF number.
So the greatest common factor 34,70,245 is 1.
Lets's calculate LCM of 141,837,818
| 3 | 141, 837, 818 |
| 47, 279, 818 |
∴ So the LCM of the given numbers is 3 x 47 x 279 x 818 = 32179302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32179302
Therefore, the GCF of Fractions 34/141,70/837,245/818 is 1/32179302
Least Common Multiple of 141,837,818 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 141,837,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,837,818) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(141,837,818) x common factors =1 x 3 = 3
LCM(141,837,818) = ( 141 × 837 × 818 ) / 3
LCM(141,837,818) = 96537906 / 3
LCM(141,837,818) = 32179302
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FAQs on GCF of Fractions of 34/141, 70/837, 245/818
1. What is the HCF of 34,70,245?
The HCF of 34,70,245 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 34/141, 70/837, 245/818?
Answer: GCF of Numerators as per given numbers 34/141, 70/837, 245/818 is
GCF of Numerators i.e. for 34,70,245 is 1
LCM of denominators i.e. for 141,837,818 is 32179302.
Thus, GCF of Fractions is 1/32179302.Finally, GCF of Fractions for 34/141, 70/837, 245/818 is 1/32179302.