GCF of 5702/945, 4970/985
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5702/945, 4970/985 i.e 2/186165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5702/945, 4970/985.
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 5702/945,4970/985?
Given fractions are 5702/945,4970/985
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 5702/945,4970/985, numerators are 5702,4970
Denominators are 945,985
The GCF of 5702,4970 is 2 .
LCM of 945,985 is 186165.
The greatest common factor of 5702/945,4970/985 = [GCF of 5702,4970]/[LCM of 945,985]= 2/186165
Therefore, the GCF of 5702/945,4970/985 is 2/186165.
To find the highest common factor of 5702,4970, we have to find the factors of both numbers and list the highest common factor.
The factors of 5702 are 1, 2, 2851, 5702
The factors of 4970 are 1, 2, 5, 7, 10, 14, 35, 70, 71, 142, 355, 497, 710, 994, 2485, 4970
The HCF of 5702,4970 is 2.
Lets's calculate GCF of 5702,4970
| 2 | 5702, 4970 |
| 2851, 2485 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5702,4970 By Matching Biggest Common Factor Method
Now, list down the factors of 5702
:1,2,2851,5702
Now, list down the factors of 4970
:1,2,5,7,10,14,35,70,71,142,355,497,710,994,2485,4970
Greatest Common Factor
We found the factors 5702,4970 . The biggest common factor number is the GCF number.
So the greatest common factor 5702,4970 is 2.
Lets's calculate LCM of 945,985
| 5 | 945, 985 |
| 189, 197 |
∴ So the LCM of the given numbers is 5 x 189 x 197 = 186165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/186165
Therefore, the GCF of Fractions 5702/945,4970/985 is 2/186165
Least Common Multiple of 945,985 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 945,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,985) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(945,985) x common factors =5 x 1 = 5
LCM(945,985) = ( 945 × 985 ) / 5
LCM(945,985) = 930825 / 5
LCM(945,985) = 186165
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FAQs on GCF of Fractions of 5702/945, 4970/985
1. What is the HCF of 5702,4970?
The HCF of 5702,4970 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 5702/945, 4970/985?
Answer: GCF of Numerators as per given numbers 5702/945, 4970/985 is
GCF of Numerators i.e. for 5702,4970 is 2
LCM of denominators i.e. for 945,985 is 186165.
Thus, GCF of Fractions is 2/186165.Finally, GCF of Fractions for 5702/945, 4970/985 is 2/186165.