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GCF of 436/67, 688/7320

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 436/67, 688/7320 i.e 4/490440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 436/67, 688/7320.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 436/67,688/7320?

Given fractions are 436/67,688/7320

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 436/67,688/7320, numerators are 436,688

Denominators are 67,7320

The GCF of 436,688 is 4 .

LCM of 67,7320 is 490440.

The greatest common factor of 436/67,688/7320 = [GCF of 436,688]/[LCM of 67,7320]= 4/490440

Therefore, the GCF of 436/67,688/7320 is 4/490440.

Greatest Common Factor of 436,688

To find the highest common factor of 436,688, we have to find the factors of both numbers and list the highest common factor.

The factors of 436 are 1, 2, 4, 109, 218, 436

The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

The HCF of 436,688 is 4.

Lets's calculate GCF of 436,688

Greatest Common Factor (GCF) of 436,688 By Common Division

2 436, 688
2 218, 344
109, 172

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

Greatest Common Factor of 436,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 436,688 By Matching Biggest Common Factor Method

Now, list down the factors of 436

:

1,2,4,109,218,436

Now, list down the factors of 688

:

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 436,688 . The biggest common factor number is the GCF number.
So the greatest common factor 436,688 is 4.

Lets's calculate LCM of 67,7320

Lowest Common Multiple of 67,7320 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 490440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/490440

Therefore, the GCF of Fractions 436/67,688/7320 is 4/490440

Least Common Multiple of 67,7320 with GCF Formula

Least Common Multiple of 67,7320 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 67,7320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,7320) = 1

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

GCF(67,7320) x common factors =1 x 1 = 1

LCM(67,7320) = ( 67 × 7320 ) / 1

LCM(67,7320) = 490440 / 1

LCM(67,7320) = 490440


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FAQs on GCF of Fractions of 436/67, 688/7320

1. What is the HCF of 436,688?

The HCF of 436,688 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 436/67, 688/7320?

Answer: GCF of Numerators as per given numbers 436/67, 688/7320 is

GCF of Numerators i.e. for 436,688 is 4

LCM of denominators i.e. for 67,7320 is 490440.

Thus, GCF of Fractions is 4/490440.Finally, GCF of Fractions for 436/67, 688/7320 is 4/490440.