Highest Common Factor of 710, 927, 620 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, 927, 620 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 710, 927, 620 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, 927, 620 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, 927, 620 is 1.

HCF(710, 927, 620) = 1

HCF of 710, 927, 620 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, 927, 620 is 1.

Highest Common Factor of 710,927,620 using Euclid's algorithm

Highest Common Factor of 710,927,620 is 1

Step 1: Since 927 > 710, we apply the division lemma to 927 and 710, to get

927 = 710 x 1 + 217

Step 2: Since the reminder 710 ≠ 0, we apply division lemma to 217 and 710, to get

710 = 217 x 3 + 59

Step 3: We consider the new divisor 217 and the new remainder 59, and apply the division lemma to get

217 = 59 x 3 + 40

We consider the new divisor 59 and the new remainder 40,and apply the division lemma to get

59 = 40 x 1 + 19

We consider the new divisor 40 and the new remainder 19,and apply the division lemma to get

40 = 19 x 2 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 710 and 927 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(40,19) = HCF(59,40) = HCF(217,59) = HCF(710,217) = HCF(927,710) .

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

Step 1: Since 620 > 1, we apply the division lemma to 620 and 1, to get

620 = 1 x 620 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 620 is 1

Notice that 1 = HCF(620,1) .

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Frequently Asked Questions on HCF of 710, 927, 620 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, 927, 620?

Answer: HCF of 710, 927, 620 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 710, 927, 620 using Euclid's Algorithm?

Answer: For arbitrary numbers 710, 927, 620 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.