How to Find GCF of 9968/430, 3044/8424?

GCF of 9968/430, 3044/8424

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 9968/430, 3044/8424 i.e 4/1811160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9968/430, 3044/8424.

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 9968/430,3044/8424?

Given fractions are 9968/430,3044/8424

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 9968/430,3044/8424, numerators are 9968,3044

Denominators are 430,8424

The GCF of 9968,3044 is 4 .

LCM of 430,8424 is 1811160.

The greatest common factor of 9968/430,3044/8424 = [GCF of 9968,3044]/[LCM of 430,8424]= 4/1811160

Therefore, the GCF of 9968/430,3044/8424 is 4/1811160.

Greatest Common Factor of 9968,3044

To find the highest common factor of 9968,3044, we have to find the factors of both numbers and list the highest common factor.

The factors of 9968 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968

The factors of 3044 are 1, 2, 4, 761, 1522, 3044

The HCF of 9968,3044 is 4.

Lets's calculate GCF of 9968,3044

Greatest Common Factor (GCF) of 9968,3044 By Common Division

2	9968, 3044
2	4984, 1522
	2492, 761

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9968,3044 By Matching Biggest Common Factor Method

Now, list down the factors of 9968

1,2,4,7,8,14,16,28,56,89,112,178,356,623,712,1246,1424,2492,4984,9968

Now, list down the factors of 3044

1,2,4,761,1522,3044

Greatest Common Factor

We found the factors 9968,3044 . The biggest common factor number is the GCF number.
So the greatest common factor 9968,3044 is 4.

Lets's calculate LCM of 430,8424

Lowest Common Multiple of 430,8424 using Common Division

2	430, 8424
	215, 4212

∴ So the LCM of the given numbers is 2 x 215 x 4212 = 1811160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1811160

Therefore, the GCF of Fractions 9968/430,3044/8424 is 4/1811160

Least Common Multiple of 430,8424 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 430,8424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(430,8424) = 2

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

GCF(430,8424) x common factors =2 x 1 = 2

LCM(430,8424) = ( 430 × 8424 ) / 2

LCM(430,8424) = 3622320 / 2

LCM(430,8424) = 1811160

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9968/430, 3044/8424

1. What is the HCF of 9968,3044?

The HCF of 9968,3044 is 4

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 9968/430, 3044/8424?

Answer: GCF of Numerators as per given numbers 9968/430, 3044/8424 is

GCF of Numerators i.e. for 9968,3044 is 4

LCM of denominators i.e. for 430,8424 is 1811160.

Thus, GCF of Fractions is 4/1811160.Finally, GCF of Fractions for 9968/430, 3044/8424 is 4/1811160.