How to Find GCF of 98/67, 49/617, 827/318?

GCF of 98/67, 49/617, 827/318

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 98/67, 49/617, 827/318 i.e 1/13145802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/67, 49/617, 827/318.

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 98/67,49/617,827/318?

Given fractions are 98/67,49/617,827/318

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 98/67,49/617,827/318, numerators are 98,49,827

Denominators are 67,617,318

The GCF of 98,49,827 is 1 .

LCM of 67,617,318 is 13145802.

The greatest common factor of 98/67,49/617,827/318 = [GCF of 98,49,827]/[LCM of 67,617,318]= 1/13145802

Therefore, the GCF of 98/67,49/617,827/318 is 1/13145802.

Greatest Common Factor of 98,49,827

To find the highest common factor of 98,49,827, 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 49 are 1, 7, 49

The factors of 827 are 1, 827

The HCF of 98,49,827 is 1.

Lets's calculate GCF of 98,49,827

Greatest Common Factor (GCF) of 98,49,827 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 98,49,827 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 49

1,7,49

Now, list down the factors of 827

1,827

Greatest Common Factor

We found the factors 98,49,827 . The biggest common factor number is the GCF number.
So the greatest common factor 98,49,827 is 1.

Lets's calculate LCM of 67,617,318

Lowest Common Multiple of 67,617,318 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 13145802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13145802

Therefore, the GCF of Fractions 98/67,49/617,827/318 is 1/13145802

Least Common Multiple of 67,617,318 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 67,617,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,617,318) = 1

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

GCF(67,617,318) x common factors =1 x 1 = 1

LCM(67,617,318) = ( 67 × 617 × 318 ) / 1

LCM(67,617,318) = 13145802 / 1

LCM(67,617,318) = 13145802

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FAQs on GCF of Fractions of 98/67, 49/617, 827/318

1. What is the HCF of 98,49,827?

The HCF of 98,49,827 is 1

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 98/67, 49/617, 827/318?

Answer: GCF of Numerators as per given numbers 98/67, 49/617, 827/318 is

GCF of Numerators i.e. for 98,49,827 is 1

LCM of denominators i.e. for 67,617,318 is 13145802.

Thus, GCF of Fractions is 1/13145802.Finally, GCF of Fractions for 98/67, 49/617, 827/318 is 1/13145802.