How to Find GCF of 448/532, 6868/692?

GCF of 448/532, 6868/692

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 448/532, 6868/692 i.e 4/92036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 448/532, 6868/692.

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 448/532,6868/692?

Given fractions are 448/532,6868/692

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 448/532,6868/692, numerators are 448,6868

Denominators are 532,692

The GCF of 448,6868 is 4 .

LCM of 532,692 is 92036.

The greatest common factor of 448/532,6868/692 = [GCF of 448,6868]/[LCM of 532,692]= 4/92036

Therefore, the GCF of 448/532,6868/692 is 4/92036.

Greatest Common Factor of 448,6868

To find the highest common factor of 448,6868, we have to find the factors of both numbers and list the highest common factor.

The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

The factors of 6868 are 1, 2, 4, 17, 34, 68, 101, 202, 404, 1717, 3434, 6868

The HCF of 448,6868 is 4.

Lets's calculate GCF of 448,6868

Greatest Common Factor (GCF) of 448,6868 By Common Division

2	448, 6868
2	224, 3434
	112, 1717

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

Greatest Common Factor of 448,6868 By Matching Biggest Common Factor Method

Now, list down the factors of 448

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Now, list down the factors of 6868

1,2,4,17,34,68,101,202,404,1717,3434,6868

Greatest Common Factor

We found the factors 448,6868 . The biggest common factor number is the GCF number.
So the greatest common factor 448,6868 is 4.

Lets's calculate LCM of 532,692

Lowest Common Multiple of 532,692 using Common Division

2	532, 692
2	266, 346
	133, 173

∴ So the LCM of the given numbers is 2 x 2 x 133 x 173 = 92036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/92036

Therefore, the GCF of Fractions 448/532,6868/692 is 4/92036

Least Common Multiple of 532,692 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 532,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,692) = 4

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

GCF(532,692) x common factors =4 x 1 = 4

LCM(532,692) = ( 532 × 692 ) / 4

LCM(532,692) = 368144 / 4

LCM(532,692) = 92036

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FAQs on GCF of Fractions of 448/532, 6868/692

1. What is the HCF of 448,6868?

The HCF of 448,6868 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 448/532, 6868/692?

Answer: GCF of Numerators as per given numbers 448/532, 6868/692 is

GCF of Numerators i.e. for 448,6868 is 4

LCM of denominators i.e. for 532,692 is 92036.

Thus, GCF of Fractions is 4/92036.Finally, GCF of Fractions for 448/532, 6868/692 is 4/92036.