How to Find GCF of 9498/860, 3490/924?

GCF of 9498/860, 3490/924

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 9498/860, 3490/924 i.e 2/198660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9498/860, 3490/924.

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 9498/860,3490/924?

Given fractions are 9498/860,3490/924

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 9498/860,3490/924, numerators are 9498,3490

Denominators are 860,924

The GCF of 9498,3490 is 2 .

LCM of 860,924 is 198660.

The greatest common factor of 9498/860,3490/924 = [GCF of 9498,3490]/[LCM of 860,924]= 2/198660

Therefore, the GCF of 9498/860,3490/924 is 2/198660.

Greatest Common Factor of 9498,3490

To find the highest common factor of 9498,3490, we have to find the factors of both numbers and list the highest common factor.

The factors of 9498 are 1, 2, 3, 6, 1583, 3166, 4749, 9498

The factors of 3490 are 1, 2, 5, 10, 349, 698, 1745, 3490

The HCF of 9498,3490 is 2.

Lets's calculate GCF of 9498,3490

Greatest Common Factor (GCF) of 9498,3490 By Common Division

2	9498, 3490
	4749, 1745

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

Greatest Common Factor of 9498,3490 By Matching Biggest Common Factor Method

Now, list down the factors of 9498

1,2,3,6,1583,3166,4749,9498

Now, list down the factors of 3490

1,2,5,10,349,698,1745,3490

Greatest Common Factor

We found the factors 9498,3490 . The biggest common factor number is the GCF number.
So the greatest common factor 9498,3490 is 2.

Lets's calculate LCM of 860,924

Lowest Common Multiple of 860,924 using Common Division

2	860, 924
2	430, 462
	215, 231

∴ So the LCM of the given numbers is 2 x 2 x 215 x 231 = 198660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/198660

Therefore, the GCF of Fractions 9498/860,3490/924 is 2/198660

Least Common Multiple of 860,924 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 860,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(860,924) = 4

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

GCF(860,924) x common factors =4 x 1 = 4

LCM(860,924) = ( 860 × 924 ) / 4

LCM(860,924) = 794640 / 4

LCM(860,924) = 198660

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FAQs on GCF of Fractions of 9498/860, 3490/924

1. What is the HCF of 9498,3490?

The HCF of 9498,3490 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 9498/860, 3490/924?

Answer: GCF of Numerators as per given numbers 9498/860, 3490/924 is

GCF of Numerators i.e. for 9498,3490 is 2

LCM of denominators i.e. for 860,924 is 198660.

Thus, GCF of Fractions is 2/198660.Finally, GCF of Fractions for 9498/860, 3490/924 is 2/198660.