GCF of 34/56, 630/54, 938/737
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/56, 630/54, 938/737 i.e 2/1114344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/56, 630/54, 938/737.
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 34/56,630/54,938/737?
Given fractions are 34/56,630/54,938/737
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 34/56,630/54,938/737, numerators are 34,630,938
Denominators are 56,54,737
The GCF of 34,630,938 is 2 .
LCM of 56,54,737 is 1114344.
The greatest common factor of 34/56,630/54,938/737 = [GCF of 34,630,938]/[LCM of 56,54,737]= 2/1114344
Therefore, the GCF of 34/56,630/54,938/737 is 2/1114344.
To find the highest common factor of 34,630,938, 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 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938
The HCF of 34,630,938 is 2.
Lets's calculate GCF of 34,630,938
| 2 | 34, 630, 938 |
| 17, 315, 469 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 34,630,938 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 630
:1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Now, list down the factors of 938
:1,2,7,14,67,134,469,938
Greatest Common Factor
We found the factors 34,630,938 . The biggest common factor number is the GCF number.
So the greatest common factor 34,630,938 is 2.
Lets's calculate LCM of 56,54,737
| 2 | 56, 54, 737 |
| 28, 27, 737 |
∴ So the LCM of the given numbers is 2 x 28 x 27 x 737 = 1114344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1114344
Therefore, the GCF of Fractions 34/56,630/54,938/737 is 2/1114344
Least Common Multiple of 56,54,737 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 56,54,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,54,737) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(56,54,737) x common factors =1 x 2 = 2
LCM(56,54,737) = ( 56 × 54 × 737 ) / 2
LCM(56,54,737) = 2228688 / 2
LCM(56,54,737) = 1114344
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FAQs on GCF of Fractions of 34/56, 630/54, 938/737
1. What is the HCF of 34,630,938?
The HCF of 34,630,938 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 34/56, 630/54, 938/737?
Answer: GCF of Numerators as per given numbers 34/56, 630/54, 938/737 is
GCF of Numerators i.e. for 34,630,938 is 2
LCM of denominators i.e. for 56,54,737 is 1114344.
Thus, GCF of Fractions is 2/1114344.Finally, GCF of Fractions for 34/56, 630/54, 938/737 is 2/1114344.