How to Find GCF of 1368/624, 7984/6749?

GCF of 1368/624, 7984/6749

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 1368/624, 7984/6749 i.e 8/4211376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1368/624, 7984/6749.

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 1368/624,7984/6749?

Given fractions are 1368/624,7984/6749

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 1368/624,7984/6749, numerators are 1368,7984

Denominators are 624,6749

The GCF of 1368,7984 is 8 .

LCM of 624,6749 is 4211376.

The greatest common factor of 1368/624,7984/6749 = [GCF of 1368,7984]/[LCM of 624,6749]= 8/4211376

Therefore, the GCF of 1368/624,7984/6749 is 8/4211376.

Greatest Common Factor of 1368,7984

To find the highest common factor of 1368,7984, we have to find the factors of both numbers and list the highest common factor.

The factors of 1368 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684, 1368

The factors of 7984 are 1, 2, 4, 8, 16, 499, 998, 1996, 3992, 7984

The HCF of 1368,7984 is 8.

Lets's calculate GCF of 1368,7984

Greatest Common Factor (GCF) of 1368,7984 By Common Division

2	1368, 7984
2	684, 3992
2	342, 1996
	171, 998

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 1368,7984 By Matching Biggest Common Factor Method

Now, list down the factors of 1368

1,2,3,4,6,8,9,12,18,19,24,36,38,57,72,76,114,152,171,228,342,456,684,1368

Now, list down the factors of 7984

1,2,4,8,16,499,998,1996,3992,7984

Greatest Common Factor

We found the factors 1368,7984 . The biggest common factor number is the GCF number.
So the greatest common factor 1368,7984 is 8.

Lets's calculate LCM of 624,6749

Lowest Common Multiple of 624,6749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4211376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4211376

Therefore, the GCF of Fractions 1368/624,7984/6749 is 8/4211376

Least Common Multiple of 624,6749 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 624,6749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,6749) = 1

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

GCF(624,6749) x common factors =1 x 1 = 1

LCM(624,6749) = ( 624 × 6749 ) / 1

LCM(624,6749) = 4211376 / 1

LCM(624,6749) = 4211376

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FAQs on GCF of Fractions of 1368/624, 7984/6749

1. What is the HCF of 1368,7984?

The HCF of 1368,7984 is 8

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 1368/624, 7984/6749?

Answer: GCF of Numerators as per given numbers 1368/624, 7984/6749 is

GCF of Numerators i.e. for 1368,7984 is 8

LCM of denominators i.e. for 624,6749 is 4211376.

Thus, GCF of Fractions is 8/4211376.Finally, GCF of Fractions for 1368/624, 7984/6749 is 8/4211376.