Highest Common Factor of 991, 696, 751, 19 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 991, 696, 751, 19 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 991, 696, 751, 19 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 991, 696, 751, 19 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 991, 696, 751, 19 is 1.
HCF(991, 696, 751, 19) = 1
HCF of 991, 696, 751, 19 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 991, 696, 751, 19 is 1.
Highest Common Factor of 991,696,751,19 is 1
Step 1: Since 991 > 696, we apply the division lemma to 991 and 696, to get
991 = 696 x 1 + 295
Step 2: Since the reminder 696 ≠ 0, we apply division lemma to 295 and 696, to get
696 = 295 x 2 + 106
Step 3: We consider the new divisor 295 and the new remainder 106, and apply the division lemma to get
295 = 106 x 2 + 83
We consider the new divisor 106 and the new remainder 83,and apply the division lemma to get
106 = 83 x 1 + 23
We consider the new divisor 83 and the new remainder 23,and apply the division lemma to get
83 = 23 x 3 + 14
We consider the new divisor 23 and the new remainder 14,and apply the division lemma to get
23 = 14 x 1 + 9
We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get
14 = 9 x 1 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 991 and 696 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(23,14) = HCF(83,23) = HCF(106,83) = HCF(295,106) = HCF(696,295) = HCF(991,696) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 751 > 1, we apply the division lemma to 751 and 1, to get
751 = 1 x 751 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 751 is 1
Notice that 1 = HCF(751,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 19 > 1, we apply the division lemma to 19 and 1, to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 19 is 1
Notice that 1 = HCF(19,1) .
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Frequently Asked Questions on HCF of 991, 696, 751, 19 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 991, 696, 751, 19?
Answer: HCF of 991, 696, 751, 19 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 991, 696, 751, 19 using Euclid's Algorithm?
Answer: For arbitrary numbers 991, 696, 751, 19 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.