How to Find GCF of 708/546, 598/650?

GCF of 708/546, 598/650

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 708/546, 598/650 i.e 2/13650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 708/546, 598/650.

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 708/546,598/650?

Given fractions are 708/546,598/650

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 708/546,598/650, numerators are 708,598

Denominators are 546,650

The GCF of 708,598 is 2 .

LCM of 546,650 is 13650.

The greatest common factor of 708/546,598/650 = [GCF of 708,598]/[LCM of 546,650]= 2/13650

Therefore, the GCF of 708/546,598/650 is 2/13650.

Greatest Common Factor of 708,598

To find the highest common factor of 708,598, we have to find the factors of both numbers and list the highest common factor.

The factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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

The HCF of 708,598 is 2.

Lets's calculate GCF of 708,598

Greatest Common Factor (GCF) of 708,598 By Common Division

2	708, 598
	354, 299

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

Greatest Common Factor of 708,598 By Matching Biggest Common Factor Method

Now, list down the factors of 708

1,2,3,4,6,12,59,118,177,236,354,708

Now, list down the factors of 598

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

Greatest Common Factor

We found the factors 708,598 . The biggest common factor number is the GCF number.
So the greatest common factor 708,598 is 2.

Lets's calculate LCM of 546,650

Lowest Common Multiple of 546,650 using Common Division

2	546, 650
13	273, 325
	21, 25

∴ So the LCM of the given numbers is 2 x 13 x 21 x 25 = 13650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13650

Therefore, the GCF of Fractions 708/546,598/650 is 2/13650

Least Common Multiple of 546,650 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 546,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,650) = 26

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

GCF(546,650) x common factors =26 x 1 = 26

LCM(546,650) = ( 546 × 650 ) / 26

LCM(546,650) = 354900 / 26

LCM(546,650) = 13650

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FAQs on GCF of Fractions of 708/546, 598/650

1. What is the HCF of 708,598?

The HCF of 708,598 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 708/546, 598/650?

Answer: GCF of Numerators as per given numbers 708/546, 598/650 is

GCF of Numerators i.e. for 708,598 is 2

LCM of denominators i.e. for 546,650 is 13650.

Thus, GCF of Fractions is 2/13650.Finally, GCF of Fractions for 708/546, 598/650 is 2/13650.