How to Find GCF of 598/960, 630/739?

GCF of 598/960, 630/739

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 598/960, 630/739 i.e 2/709440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 598/960, 630/739.

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 598/960,630/739?

Given fractions are 598/960,630/739

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 598/960,630/739, numerators are 598,630

Denominators are 960,739

The GCF of 598,630 is 2 .

LCM of 960,739 is 709440.

The greatest common factor of 598/960,630/739 = [GCF of 598,630]/[LCM of 960,739]= 2/709440

Therefore, the GCF of 598/960,630/739 is 2/709440.

Greatest Common Factor of 598,630

To find the highest common factor of 598,630, we have to find the factors of both numbers and list the highest common factor.

The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598

The factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

The HCF of 598,630 is 2.

Lets's calculate GCF of 598,630

Greatest Common Factor (GCF) of 598,630 By Common Division

2	598, 630
	299, 315

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 598,630 By Matching Biggest Common Factor Method

Now, list down the factors of 598

1,2,13,23,26,46,299,598

Now, list down the factors of 630

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 598,630 . The biggest common factor number is the GCF number.
So the greatest common factor 598,630 is 2.

Lets's calculate LCM of 960,739

Lowest Common Multiple of 960,739 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 709440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/709440

Therefore, the GCF of Fractions 598/960,630/739 is 2/709440

Least Common Multiple of 960,739 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 960,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,739) = 1

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

GCF(960,739) x common factors =1 x 1 = 1

LCM(960,739) = ( 960 × 739 ) / 1

LCM(960,739) = 709440 / 1

LCM(960,739) = 709440

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FAQs on GCF of Fractions of 598/960, 630/739

1. What is the HCF of 598,630?

The HCF of 598,630 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 598/960, 630/739?

Answer: GCF of Numerators as per given numbers 598/960, 630/739 is

GCF of Numerators i.e. for 598,630 is 2

LCM of denominators i.e. for 960,739 is 709440.

Thus, GCF of Fractions is 2/709440.Finally, GCF of Fractions for 598/960, 630/739 is 2/709440.