How to Find GCF of 1636/214, 5224/951?

GCF of 1636/214, 5224/951

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 1636/214, 5224/951 i.e 4/203514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1636/214, 5224/951.

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 1636/214,5224/951?

Given fractions are 1636/214,5224/951

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 1636/214,5224/951, numerators are 1636,5224

Denominators are 214,951

The GCF of 1636,5224 is 4 .

LCM of 214,951 is 203514.

The greatest common factor of 1636/214,5224/951 = [GCF of 1636,5224]/[LCM of 214,951]= 4/203514

Therefore, the GCF of 1636/214,5224/951 is 4/203514.

Greatest Common Factor of 1636,5224

To find the highest common factor of 1636,5224, we have to find the factors of both numbers and list the highest common factor.

The factors of 1636 are 1, 2, 4, 409, 818, 1636

The factors of 5224 are 1, 2, 4, 8, 653, 1306, 2612, 5224

The HCF of 1636,5224 is 4.

Lets's calculate GCF of 1636,5224

Greatest Common Factor (GCF) of 1636,5224 By Common Division

2	1636, 5224
2	818, 2612
	409, 1306

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

Greatest Common Factor of 1636,5224 By Matching Biggest Common Factor Method

Now, list down the factors of 1636

1,2,4,409,818,1636

Now, list down the factors of 5224

1,2,4,8,653,1306,2612,5224

Greatest Common Factor

We found the factors 1636,5224 . The biggest common factor number is the GCF number.
So the greatest common factor 1636,5224 is 4.

Lets's calculate LCM of 214,951

Lowest Common Multiple of 214,951 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 203514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/203514

Therefore, the GCF of Fractions 1636/214,5224/951 is 4/203514

Least Common Multiple of 214,951 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 214,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,951) = 1

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

GCF(214,951) x common factors =1 x 1 = 1

LCM(214,951) = ( 214 × 951 ) / 1

LCM(214,951) = 203514 / 1

LCM(214,951) = 203514

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FAQs on GCF of Fractions of 1636/214, 5224/951

1. What is the HCF of 1636,5224?

The HCF of 1636,5224 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 1636/214, 5224/951?

Answer: GCF of Numerators as per given numbers 1636/214, 5224/951 is

GCF of Numerators i.e. for 1636,5224 is 4

LCM of denominators i.e. for 214,951 is 203514.

Thus, GCF of Fractions is 4/203514.Finally, GCF of Fractions for 1636/214, 5224/951 is 4/203514.