Highest Common Factor of 4233, 7456 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 4233, 7456 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4233, 7456 is 1 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 4233, 7456 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 4233, 7456 is 1.

HCF(4233, 7456) = 1

HCF of 4233, 7456 using Euclid's algorithm

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

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Highest common factor (HCF) of 4233, 7456 is 1.

Highest Common Factor of 4233,7456 using Euclid's algorithm

Highest Common Factor of 4233,7456 is 1

Step 1: Since 7456 > 4233, we apply the division lemma to 7456 and 4233, to get

7456 = 4233 x 1 + 3223

Step 2: Since the reminder 4233 ≠ 0, we apply division lemma to 3223 and 4233, to get

4233 = 3223 x 1 + 1010

Step 3: We consider the new divisor 3223 and the new remainder 1010, and apply the division lemma to get

3223 = 1010 x 3 + 193

We consider the new divisor 1010 and the new remainder 193,and apply the division lemma to get

1010 = 193 x 5 + 45

We consider the new divisor 193 and the new remainder 45,and apply the division lemma to get

193 = 45 x 4 + 13

We consider the new divisor 45 and the new remainder 13,and apply the division lemma to get

45 = 13 x 3 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4233 and 7456 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(45,13) = HCF(193,45) = HCF(1010,193) = HCF(3223,1010) = HCF(4233,3223) = HCF(7456,4233) .

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Frequently Asked Questions on HCF of 4233, 7456 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 4233, 7456?

Answer: HCF of 4233, 7456 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4233, 7456 using Euclid's Algorithm?

Answer: For arbitrary numbers 4233, 7456 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.