Highest Common Factor of 698, 944, 910, 532 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 698, 944, 910, 532 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 698, 944, 910, 532 is 2 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 698, 944, 910, 532 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 698, 944, 910, 532 is 2.

HCF(698, 944, 910, 532) = 2

HCF of 698, 944, 910, 532 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 698, 944, 910, 532 is 2.

Highest Common Factor of 698,944,910,532 using Euclid's algorithm

Highest Common Factor of 698,944,910,532 is 2

Step 1: Since 944 > 698, we apply the division lemma to 944 and 698, to get

944 = 698 x 1 + 246

Step 2: Since the reminder 698 ≠ 0, we apply division lemma to 246 and 698, to get

698 = 246 x 2 + 206

Step 3: We consider the new divisor 246 and the new remainder 206, and apply the division lemma to get

246 = 206 x 1 + 40

We consider the new divisor 206 and the new remainder 40,and apply the division lemma to get

206 = 40 x 5 + 6

We consider the new divisor 40 and the new remainder 6,and apply the division lemma to get

40 = 6 x 6 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 698 and 944 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(40,6) = HCF(206,40) = HCF(246,206) = HCF(698,246) = HCF(944,698) .

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

Step 1: Since 910 > 2, we apply the division lemma to 910 and 2, to get

910 = 2 x 455 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 910 is 2

Notice that 2 = HCF(910,2) .

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

Step 1: Since 532 > 2, we apply the division lemma to 532 and 2, to get

532 = 2 x 266 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 532 is 2

Notice that 2 = HCF(532,2) .

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Frequently Asked Questions on HCF of 698, 944, 910, 532 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 698, 944, 910, 532?

Answer: HCF of 698, 944, 910, 532 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 698, 944, 910, 532 using Euclid's Algorithm?

Answer: For arbitrary numbers 698, 944, 910, 532 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.