How to Find GCF of 672/78, 200/943?

GCF of 672/78, 200/943

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 672/78, 200/943 i.e 8/73554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 672/78, 200/943.

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 672/78,200/943?

Given fractions are 672/78,200/943

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 672/78,200/943, numerators are 672,200

Denominators are 78,943

The GCF of 672,200 is 8 .

LCM of 78,943 is 73554.

The greatest common factor of 672/78,200/943 = [GCF of 672,200]/[LCM of 78,943]= 8/73554

Therefore, the GCF of 672/78,200/943 is 8/73554.

Greatest Common Factor of 672,200

To find the highest common factor of 672,200, we have to find the factors of both numbers and list the highest common factor.

The factors of 672 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

The HCF of 672,200 is 8.

Lets's calculate GCF of 672,200

Greatest Common Factor (GCF) of 672,200 By Common Division

2	672, 200
2	336, 100
2	168, 50
	84, 25

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

Greatest Common Factor of 672,200 By Matching Biggest Common Factor Method

Now, list down the factors of 672

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Now, list down the factors of 200

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 672,200 . The biggest common factor number is the GCF number.
So the greatest common factor 672,200 is 8.

Lets's calculate LCM of 78,943

Lowest Common Multiple of 78,943 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 73554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/73554

Therefore, the GCF of Fractions 672/78,200/943 is 8/73554

Least Common Multiple of 78,943 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 78,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,943) = 1

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

GCF(78,943) x common factors =1 x 1 = 1

LCM(78,943) = ( 78 × 943 ) / 1

LCM(78,943) = 73554 / 1

LCM(78,943) = 73554

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FAQs on GCF of Fractions of 672/78, 200/943

1. What is the HCF of 672,200?

The HCF of 672,200 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 672/78, 200/943?

Answer: GCF of Numerators as per given numbers 672/78, 200/943 is

GCF of Numerators i.e. for 672,200 is 8

LCM of denominators i.e. for 78,943 is 73554.

Thus, GCF of Fractions is 8/73554.Finally, GCF of Fractions for 672/78, 200/943 is 8/73554.