Highest Common Factor of 710, 459, 922 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 710, 459, 922 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 710, 459, 922 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 710, 459, 922 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 710, 459, 922 is 1.

HCF(710, 459, 922) = 1

HCF of 710, 459, 922 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 710, 459, 922 is 1.

Highest Common Factor of 710,459,922 using Euclid's algorithm

Highest Common Factor of 710,459,922 is 1

Step 1: Since 710 > 459, we apply the division lemma to 710 and 459, to get

710 = 459 x 1 + 251

Step 2: Since the reminder 459 ≠ 0, we apply division lemma to 251 and 459, to get

459 = 251 x 1 + 208

Step 3: We consider the new divisor 251 and the new remainder 208, and apply the division lemma to get

251 = 208 x 1 + 43

We consider the new divisor 208 and the new remainder 43,and apply the division lemma to get

208 = 43 x 4 + 36

We consider the new divisor 43 and the new remainder 36,and apply the division lemma to get

43 = 36 x 1 + 7

We consider the new divisor 36 and the new remainder 7,and apply the division lemma to get

36 = 7 x 5 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 710 and 459 is 1

Notice that 1 = HCF(7,1) = HCF(36,7) = HCF(43,36) = HCF(208,43) = HCF(251,208) = HCF(459,251) = HCF(710,459) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 922 > 1, we apply the division lemma to 922 and 1, to get

922 = 1 x 922 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 922 is 1

Notice that 1 = HCF(922,1) .

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Frequently Asked Questions on HCF of 710, 459, 922 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 710, 459, 922?

Answer: HCF of 710, 459, 922 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 710, 459, 922 using Euclid's Algorithm?

Answer: For arbitrary numbers 710, 459, 922 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.