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GCF of 1607/947, 4432/382

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 1607/947, 4432/382 i.e 1/361754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1607/947, 4432/382.

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 1607/947,4432/382?

Given fractions are 1607/947,4432/382

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 1607/947,4432/382, numerators are 1607,4432

Denominators are 947,382

The GCF of 1607,4432 is 1 .

LCM of 947,382 is 361754.

The greatest common factor of 1607/947,4432/382 = [GCF of 1607,4432]/[LCM of 947,382]= 1/361754

Therefore, the GCF of 1607/947,4432/382 is 1/361754.

Greatest Common Factor of 1607,4432

To find the highest common factor of 1607,4432, we have to find the factors of both numbers and list the highest common factor.

The factors of 1607 are 1, 1607

The factors of 4432 are 1, 2, 4, 8, 16, 277, 554, 1108, 2216, 4432

The HCF of 1607,4432 is 1.

Lets's calculate GCF of 1607,4432

Greatest Common Factor (GCF) of 1607,4432 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1607,4432 By Matching Biggest Common Factor Method

Greatest Common Factor of 1607,4432 By Matching Biggest Common Factor Method

Now, list down the factors of 1607

:

1,1607

Now, list down the factors of 4432

:

1,2,4,8,16,277,554,1108,2216,4432

Greatest Common Factor

We found the factors 1607,4432 . The biggest common factor number is the GCF number.
So the greatest common factor 1607,4432 is 1.

Lets's calculate LCM of 947,382

Lowest Common Multiple of 947,382 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 361754

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/361754

Therefore, the GCF of Fractions 1607/947,4432/382 is 1/361754

Least Common Multiple of 947,382 with GCF Formula

Least Common Multiple of 947,382 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 947,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,382) = 1

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

GCF(947,382) x common factors =1 x 1 = 1

LCM(947,382) = ( 947 × 382 ) / 1

LCM(947,382) = 361754 / 1

LCM(947,382) = 361754


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FAQs on GCF of Fractions of 1607/947, 4432/382

1. What is the HCF of 1607,4432?

The HCF of 1607,4432 is 1

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 1607/947, 4432/382?

Answer: GCF of Numerators as per given numbers 1607/947, 4432/382 is

GCF of Numerators i.e. for 1607,4432 is 1

LCM of denominators i.e. for 947,382 is 361754.

Thus, GCF of Fractions is 1/361754.Finally, GCF of Fractions for 1607/947, 4432/382 is 1/361754.