Highest Common Factor of 759, 991, 699 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 759, 991, 699 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 759, 991, 699 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 759, 991, 699 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 759, 991, 699 is 1.

HCF(759, 991, 699) = 1

HCF of 759, 991, 699 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 759, 991, 699 is 1.

Highest Common Factor of 759,991,699 using Euclid's algorithm

Highest Common Factor of 759,991,699 is 1

Step 1: Since 991 > 759, we apply the division lemma to 991 and 759, to get

991 = 759 x 1 + 232

Step 2: Since the reminder 759 ≠ 0, we apply division lemma to 232 and 759, to get

759 = 232 x 3 + 63

Step 3: We consider the new divisor 232 and the new remainder 63, and apply the division lemma to get

232 = 63 x 3 + 43

We consider the new divisor 63 and the new remainder 43,and apply the division lemma to get

63 = 43 x 1 + 20

We consider the new divisor 43 and the new remainder 20,and apply the division lemma to get

43 = 20 x 2 + 3

We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get

20 = 3 x 6 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 759 and 991 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(43,20) = HCF(63,43) = HCF(232,63) = HCF(759,232) = HCF(991,759) .

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

Step 1: Since 699 > 1, we apply the division lemma to 699 and 1, to get

699 = 1 x 699 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 699 is 1

Notice that 1 = HCF(699,1) .

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Frequently Asked Questions on HCF of 759, 991, 699 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 759, 991, 699?

Answer: HCF of 759, 991, 699 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 759, 991, 699 using Euclid's Algorithm?

Answer: For arbitrary numbers 759, 991, 699 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.