How to Find GCF of 98/696, 9454/7933?

GCF of 98/696, 9454/7933

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 98/696, 9454/7933 i.e 2/5521368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/696, 9454/7933.

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 98/696,9454/7933?

Given fractions are 98/696,9454/7933

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 98/696,9454/7933, numerators are 98,9454

Denominators are 696,7933

The GCF of 98,9454 is 2 .

LCM of 696,7933 is 5521368.

The greatest common factor of 98/696,9454/7933 = [GCF of 98,9454]/[LCM of 696,7933]= 2/5521368

Therefore, the GCF of 98/696,9454/7933 is 2/5521368.

Greatest Common Factor of 98,9454

To find the highest common factor of 98,9454, we have to find the factors of both numbers and list the highest common factor.

The factors of 98 are 1, 2, 7, 14, 49, 98

The factors of 9454 are 1, 2, 29, 58, 163, 326, 4727, 9454

The HCF of 98,9454 is 2.

Lets's calculate GCF of 98,9454

Greatest Common Factor (GCF) of 98,9454 By Common Division

2	98, 9454
	49, 4727

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

Greatest Common Factor of 98,9454 By Matching Biggest Common Factor Method

Now, list down the factors of 98

1,2,7,14,49,98

Now, list down the factors of 9454

1,2,29,58,163,326,4727,9454

Greatest Common Factor

We found the factors 98,9454 . The biggest common factor number is the GCF number.
So the greatest common factor 98,9454 is 2.

Lets's calculate LCM of 696,7933

Lowest Common Multiple of 696,7933 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5521368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5521368

Therefore, the GCF of Fractions 98/696,9454/7933 is 2/5521368

Least Common Multiple of 696,7933 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 696,7933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,7933) = 1

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

GCF(696,7933) x common factors =1 x 1 = 1

LCM(696,7933) = ( 696 × 7933 ) / 1

LCM(696,7933) = 5521368 / 1

LCM(696,7933) = 5521368

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FAQs on GCF of Fractions of 98/696, 9454/7933

1. What is the HCF of 98,9454?

The HCF of 98,9454 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 98/696, 9454/7933?

Answer: GCF of Numerators as per given numbers 98/696, 9454/7933 is

GCF of Numerators i.e. for 98,9454 is 2

LCM of denominators i.e. for 696,7933 is 5521368.

Thus, GCF of Fractions is 2/5521368.Finally, GCF of Fractions for 98/696, 9454/7933 is 2/5521368.