Highest Common Factor of 434, 448 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 434, 448 i.e. 14 the largest integer that leaves a remainder zero for all numbers.

HCF of 434, 448 is 14 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 434, 448 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 434, 448 is 14.

HCF(434, 448) = 14

HCF of 434, 448 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 434, 448 is 14.

Highest Common Factor of 434,448 using Euclid's algorithm

Highest Common Factor of 434,448 is 14

Step 1: Since 448 > 434, we apply the division lemma to 448 and 434, to get

448 = 434 x 1 + 14

Step 2: Since the reminder 434 ≠ 0, we apply division lemma to 14 and 434, to get

434 = 14 x 31 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 434 and 448 is 14

Notice that 14 = HCF(434,14) = HCF(448,434) .

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Frequently Asked Questions on HCF of 434, 448 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 434, 448?

Answer: HCF of 434, 448 is 14 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 434, 448 using Euclid's Algorithm?

Answer: For arbitrary numbers 434, 448 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.