How to Find GCF of 515/940, 7470/1640?

GCF of 515/940, 7470/1640

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 515/940, 7470/1640 i.e 5/77080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 515/940, 7470/1640.

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 515/940,7470/1640?

Given fractions are 515/940,7470/1640

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 515/940,7470/1640, numerators are 515,7470

Denominators are 940,1640

The GCF of 515,7470 is 5 .

LCM of 940,1640 is 77080.

The greatest common factor of 515/940,7470/1640 = [GCF of 515,7470]/[LCM of 940,1640]= 5/77080

Therefore, the GCF of 515/940,7470/1640 is 5/77080.

Greatest Common Factor of 515,7470

To find the highest common factor of 515,7470, we have to find the factors of both numbers and list the highest common factor.

The factors of 515 are 1, 5, 103, 515

The factors of 7470 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 83, 90, 166, 249, 415, 498, 747, 830, 1245, 1494, 2490, 3735, 7470

The HCF of 515,7470 is 5.

Lets's calculate GCF of 515,7470

Greatest Common Factor (GCF) of 515,7470 By Common Division

5	515, 7470
	103, 1494

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 515,7470 By Matching Biggest Common Factor Method

Now, list down the factors of 515

1,5,103,515

Now, list down the factors of 7470

1,2,3,5,6,9,10,15,18,30,45,83,90,166,249,415,498,747,830,1245,1494,2490,3735,7470

Greatest Common Factor

We found the factors 515,7470 . The biggest common factor number is the GCF number.
So the greatest common factor 515,7470 is 5.

Lets's calculate LCM of 940,1640

Lowest Common Multiple of 940,1640 using Common Division

2	940, 1640
2	470, 820
5	235, 410
	47, 82

∴ So the LCM of the given numbers is 2 x 2 x 5 x 47 x 82 = 77080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/77080

Therefore, the GCF of Fractions 515/940,7470/1640 is 5/77080

Least Common Multiple of 940,1640 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 940,1640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(940,1640) = 20

common factors(in case of two or more numbers have common factors) = 1

GCF(940,1640) x common factors =20 x 1 = 20

LCM(940,1640) = ( 940 × 1640 ) / 20

LCM(940,1640) = 1541600 / 20

LCM(940,1640) = 77080

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FAQs on GCF of Fractions of 515/940, 7470/1640

1. What is the HCF of 515,7470?

The HCF of 515,7470 is 5

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 515/940, 7470/1640?

Answer: GCF of Numerators as per given numbers 515/940, 7470/1640 is

GCF of Numerators i.e. for 515,7470 is 5

LCM of denominators i.e. for 940,1640 is 77080.

Thus, GCF of Fractions is 5/77080.Finally, GCF of Fractions for 515/940, 7470/1640 is 5/77080.