Highest Common Factor of 4430, 4907 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 4430, 4907 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4430, 4907 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 4430, 4907 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 4430, 4907 is 1.

HCF(4430, 4907) = 1

HCF of 4430, 4907 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 4430, 4907 is 1.

Highest Common Factor of 4430,4907 using Euclid's algorithm

Highest Common Factor of 4430,4907 is 1

Step 1: Since 4907 > 4430, we apply the division lemma to 4907 and 4430, to get

4907 = 4430 x 1 + 477

Step 2: Since the reminder 4430 ≠ 0, we apply division lemma to 477 and 4430, to get

4430 = 477 x 9 + 137

Step 3: We consider the new divisor 477 and the new remainder 137, and apply the division lemma to get

477 = 137 x 3 + 66

We consider the new divisor 137 and the new remainder 66,and apply the division lemma to get

137 = 66 x 2 + 5

We consider the new divisor 66 and the new remainder 5,and apply the division lemma to get

66 = 5 x 13 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4430 and 4907 is 1

Notice that 1 = HCF(5,1) = HCF(66,5) = HCF(137,66) = HCF(477,137) = HCF(4430,477) = HCF(4907,4430) .

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Frequently Asked Questions on HCF of 4430, 4907 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 4430, 4907?

Answer: HCF of 4430, 4907 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4430, 4907 using Euclid's Algorithm?

Answer: For arbitrary numbers 4430, 4907 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.