How to Find GCF of 924/67, 168/9821?

GCF of 924/67, 168/9821

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 924/67, 168/9821 i.e 84/658007 easily. The following is the detailed procedure to determine the greatest common factor of fractions 924/67, 168/9821.

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 924/67,168/9821?

Given fractions are 924/67,168/9821

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 924/67,168/9821, numerators are 924,168

Denominators are 67,9821

The GCF of 924,168 is 84 .

LCM of 67,9821 is 658007.

The greatest common factor of 924/67,168/9821 = [GCF of 924,168]/[LCM of 67,9821]= 84/658007

Therefore, the GCF of 924/67,168/9821 is 84/658007.

Greatest Common Factor of 924,168

To find the highest common factor of 924,168, we have to find the factors of both numbers and list the highest common factor.

The factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

The HCF of 924,168 is 84.

Lets's calculate GCF of 924,168

Greatest Common Factor (GCF) of 924,168 By Common Division

2	924, 168
2	462, 84
3	231, 42
7	77, 14
	11, 2

∴ So the GCF of the given numbers is 2 x 2 x 3 x 7 = 84

Greatest Common Factor of 924,168 By Matching Biggest Common Factor Method

Now, list down the factors of 924

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Now, list down the factors of 168

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 924,168 . The biggest common factor number is the GCF number.
So the greatest common factor 924,168 is 84.

Lets's calculate LCM of 67,9821

Lowest Common Multiple of 67,9821 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 658007

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 84/658007

Therefore, the GCF of Fractions 924/67,168/9821 is 84/658007

Least Common Multiple of 67,9821 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 67,9821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,9821) = 1

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

GCF(67,9821) x common factors =1 x 1 = 1

LCM(67,9821) = ( 67 × 9821 ) / 1

LCM(67,9821) = 658007 / 1

LCM(67,9821) = 658007

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FAQs on GCF of Fractions of 924/67, 168/9821

1. What is the HCF of 924,168?

The HCF of 924,168 is 84

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 924/67, 168/9821?

Answer: GCF of Numerators as per given numbers 924/67, 168/9821 is

GCF of Numerators i.e. for 924,168 is 84

LCM of denominators i.e. for 67,9821 is 658007.

Thus, GCF of Fractions is 84/658007.Finally, GCF of Fractions for 924/67, 168/9821 is 84/658007.