GCF of 934/907, 420/682
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 934/907, 420/682 i.e 2/618574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 934/907, 420/682.
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 934/907,420/682?
Given fractions are 934/907,420/682
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 934/907,420/682, numerators are 934,420
Denominators are 907,682
The GCF of 934,420 is 2 .
LCM of 907,682 is 618574.
The greatest common factor of 934/907,420/682 = [GCF of 934,420]/[LCM of 907,682]= 2/618574
Therefore, the GCF of 934/907,420/682 is 2/618574.
To find the highest common factor of 934,420, we have to find the factors of both numbers and list the highest common factor.
The factors of 934 are 1, 2, 467, 934
The factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
The HCF of 934,420 is 2.
Lets's calculate GCF of 934,420
| 2 | 934, 420 |
| 467, 210 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 934,420 By Matching Biggest Common Factor Method
Now, list down the factors of 934
:1,2,467,934
Now, list down the factors of 420
:1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Greatest Common Factor
We found the factors 934,420 . The biggest common factor number is the GCF number.
So the greatest common factor 934,420 is 2.
Lets's calculate LCM of 907,682
Given numbers has no common factors except 1. So, there LCM is their product i.e 618574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/618574
Therefore, the GCF of Fractions 934/907,420/682 is 2/618574
Least Common Multiple of 907,682 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 907,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,682) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,682) x common factors =1 x 1 = 1
LCM(907,682) = ( 907 × 682 ) / 1
LCM(907,682) = 618574 / 1
LCM(907,682) = 618574
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FAQs on GCF of Fractions of 934/907, 420/682
1. What is the HCF of 934,420?
The HCF of 934,420 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 934/907, 420/682?
Answer: GCF of Numerators as per given numbers 934/907, 420/682 is
GCF of Numerators i.e. for 934,420 is 2
LCM of denominators i.e. for 907,682 is 618574.
Thus, GCF of Fractions is 2/618574.Finally, GCF of Fractions for 934/907, 420/682 is 2/618574.