How to Find GCF of 468/370, 808/752?

GCF of 468/370, 808/752

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 468/370, 808/752 i.e 4/139120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 468/370, 808/752.

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 468/370,808/752?

Given fractions are 468/370,808/752

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 468/370,808/752, numerators are 468,808

Denominators are 370,752

The GCF of 468,808 is 4 .

LCM of 370,752 is 139120.

The greatest common factor of 468/370,808/752 = [GCF of 468,808]/[LCM of 370,752]= 4/139120

Therefore, the GCF of 468/370,808/752 is 4/139120.

Greatest Common Factor of 468,808

To find the highest common factor of 468,808, we have to find the factors of both numbers and list the highest common factor.

The factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

The factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808

The HCF of 468,808 is 4.

Lets's calculate GCF of 468,808

Greatest Common Factor (GCF) of 468,808 By Common Division

2	468, 808
2	234, 404
	117, 202

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

Greatest Common Factor of 468,808 By Matching Biggest Common Factor Method

Now, list down the factors of 468

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Now, list down the factors of 808

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 468,808 . The biggest common factor number is the GCF number.
So the greatest common factor 468,808 is 4.

Lets's calculate LCM of 370,752

Lowest Common Multiple of 370,752 using Common Division

2	370, 752
	185, 376

∴ So the LCM of the given numbers is 2 x 185 x 376 = 139120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/139120

Therefore, the GCF of Fractions 468/370,808/752 is 4/139120

Least Common Multiple of 370,752 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 370,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,752) = 2

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

GCF(370,752) x common factors =2 x 1 = 2

LCM(370,752) = ( 370 × 752 ) / 2

LCM(370,752) = 278240 / 2

LCM(370,752) = 139120

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FAQs on GCF of Fractions of 468/370, 808/752

1. What is the HCF of 468,808?

The HCF of 468,808 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 468/370, 808/752?

Answer: GCF of Numerators as per given numbers 468/370, 808/752 is

GCF of Numerators i.e. for 468,808 is 4

LCM of denominators i.e. for 370,752 is 139120.

Thus, GCF of Fractions is 4/139120.Finally, GCF of Fractions for 468/370, 808/752 is 4/139120.