How to Find GCF of 7390/587, 8930/1023?

GCF of 7390/587, 8930/1023

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 7390/587, 8930/1023 i.e 10/600501 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7390/587, 8930/1023.

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 7390/587,8930/1023?

Given fractions are 7390/587,8930/1023

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 7390/587,8930/1023, numerators are 7390,8930

Denominators are 587,1023

The GCF of 7390,8930 is 10 .

LCM of 587,1023 is 600501.

The greatest common factor of 7390/587,8930/1023 = [GCF of 7390,8930]/[LCM of 587,1023]= 10/600501

Therefore, the GCF of 7390/587,8930/1023 is 10/600501.

Greatest Common Factor of 7390,8930

To find the highest common factor of 7390,8930, we have to find the factors of both numbers and list the highest common factor.

The factors of 7390 are 1, 2, 5, 10, 739, 1478, 3695, 7390

The factors of 8930 are 1, 2, 5, 10, 19, 38, 47, 94, 95, 190, 235, 470, 893, 1786, 4465, 8930

The HCF of 7390,8930 is 10.

Lets's calculate GCF of 7390,8930

Greatest Common Factor (GCF) of 7390,8930 By Common Division

2	7390, 8930
5	3695, 4465
	739, 893

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 7390,8930 By Matching Biggest Common Factor Method

Now, list down the factors of 7390

1,2,5,10,739,1478,3695,7390

Now, list down the factors of 8930

1,2,5,10,19,38,47,94,95,190,235,470,893,1786,4465,8930

Greatest Common Factor

We found the factors 7390,8930 . The biggest common factor number is the GCF number.
So the greatest common factor 7390,8930 is 10.

Lets's calculate LCM of 587,1023

Lowest Common Multiple of 587,1023 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 600501

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/600501

Therefore, the GCF of Fractions 7390/587,8930/1023 is 10/600501

Least Common Multiple of 587,1023 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 587,1023 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,1023) = 1

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

GCF(587,1023) x common factors =1 x 1 = 1

LCM(587,1023) = ( 587 × 1023 ) / 1

LCM(587,1023) = 600501 / 1

LCM(587,1023) = 600501

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7390/587, 8930/1023

1. What is the HCF of 7390,8930?

The HCF of 7390,8930 is 10

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 7390/587, 8930/1023?

Answer: GCF of Numerators as per given numbers 7390/587, 8930/1023 is

GCF of Numerators i.e. for 7390,8930 is 10

LCM of denominators i.e. for 587,1023 is 600501.

Thus, GCF of Fractions is 10/600501.Finally, GCF of Fractions for 7390/587, 8930/1023 is 10/600501.