GCF of 7461/847, 8430/937
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7461/847, 8430/937 i.e 3/793639 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7461/847, 8430/937.
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 7461/847,8430/937?
Given fractions are 7461/847,8430/937
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 7461/847,8430/937, numerators are 7461,8430
Denominators are 847,937
The GCF of 7461,8430 is 3 .
LCM of 847,937 is 793639.
The greatest common factor of 7461/847,8430/937 = [GCF of 7461,8430]/[LCM of 847,937]= 3/793639
Therefore, the GCF of 7461/847,8430/937 is 3/793639.
To find the highest common factor of 7461,8430, we have to find the factors of both numbers and list the highest common factor.
The factors of 7461 are 1, 3, 9, 829, 2487, 7461
The factors of 8430 are 1, 2, 3, 5, 6, 10, 15, 30, 281, 562, 843, 1405, 1686, 2810, 4215, 8430
The HCF of 7461,8430 is 3.
Lets's calculate GCF of 7461,8430
| 3 | 7461, 8430 |
| 2487, 2810 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7461,8430 By Matching Biggest Common Factor Method
Now, list down the factors of 7461
:1,3,9,829,2487,7461
Now, list down the factors of 8430
:1,2,3,5,6,10,15,30,281,562,843,1405,1686,2810,4215,8430
Greatest Common Factor
We found the factors 7461,8430 . The biggest common factor number is the GCF number.
So the greatest common factor 7461,8430 is 3.
Lets's calculate LCM of 847,937
Given numbers has no common factors except 1. So, there LCM is their product i.e 793639
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/793639
Therefore, the GCF of Fractions 7461/847,8430/937 is 3/793639
Least Common Multiple of 847,937 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 847,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,937) x common factors =1 x 1 = 1
LCM(847,937) = ( 847 × 937 ) / 1
LCM(847,937) = 793639 / 1
LCM(847,937) = 793639
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FAQs on GCF of Fractions of 7461/847, 8430/937
1. What is the HCF of 7461,8430?
The HCF of 7461,8430 is 3
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 7461/847, 8430/937?
Answer: GCF of Numerators as per given numbers 7461/847, 8430/937 is
GCF of Numerators i.e. for 7461,8430 is 3
LCM of denominators i.e. for 847,937 is 793639.
Thus, GCF of Fractions is 3/793639.Finally, GCF of Fractions for 7461/847, 8430/937 is 3/793639.