Highest Common Factor of 985, 710, 236 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 985, 710, 236 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 985, 710, 236 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 985, 710, 236 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 985, 710, 236 is 1.

HCF(985, 710, 236) = 1

HCF of 985, 710, 236 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 985, 710, 236 is 1.

Highest Common Factor of 985,710,236 using Euclid's algorithm

Highest Common Factor of 985,710,236 is 1

Step 1: Since 985 > 710, we apply the division lemma to 985 and 710, to get

985 = 710 x 1 + 275

Step 2: Since the reminder 710 ≠ 0, we apply division lemma to 275 and 710, to get

710 = 275 x 2 + 160

Step 3: We consider the new divisor 275 and the new remainder 160, and apply the division lemma to get

275 = 160 x 1 + 115

We consider the new divisor 160 and the new remainder 115,and apply the division lemma to get

160 = 115 x 1 + 45

We consider the new divisor 115 and the new remainder 45,and apply the division lemma to get

115 = 45 x 2 + 25

We consider the new divisor 45 and the new remainder 25,and apply the division lemma to get

45 = 25 x 1 + 20

We consider the new divisor 25 and the new remainder 20,and apply the division lemma to get

25 = 20 x 1 + 5

We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get

20 = 5 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 985 and 710 is 5

Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(45,25) = HCF(115,45) = HCF(160,115) = HCF(275,160) = HCF(710,275) = HCF(985,710) .

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

Step 1: Since 236 > 5, we apply the division lemma to 236 and 5, to get

236 = 5 x 47 + 1

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, 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 5 and 236 is 1

Notice that 1 = HCF(5,1) = HCF(236,5) .

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Frequently Asked Questions on HCF of 985, 710, 236 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 985, 710, 236?

Answer: HCF of 985, 710, 236 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 985, 710, 236 using Euclid's Algorithm?

Answer: For arbitrary numbers 985, 710, 236 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.