Highest Common Factor of 5191, 1966 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 5191, 1966 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5191, 1966 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 5191, 1966 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 5191, 1966 is 1.
HCF(5191, 1966) = 1
HCF of 5191, 1966 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5191, 1966 is 1.
Highest Common Factor of 5191,1966 is 1
Step 1: Since 5191 > 1966, we apply the division lemma to 5191 and 1966, to get
5191 = 1966 x 2 + 1259
Step 2: Since the reminder 1966 ≠ 0, we apply division lemma to 1259 and 1966, to get
1966 = 1259 x 1 + 707
Step 3: We consider the new divisor 1259 and the new remainder 707, and apply the division lemma to get
1259 = 707 x 1 + 552
We consider the new divisor 707 and the new remainder 552,and apply the division lemma to get
707 = 552 x 1 + 155
We consider the new divisor 552 and the new remainder 155,and apply the division lemma to get
552 = 155 x 3 + 87
We consider the new divisor 155 and the new remainder 87,and apply the division lemma to get
155 = 87 x 1 + 68
We consider the new divisor 87 and the new remainder 68,and apply the division lemma to get
87 = 68 x 1 + 19
We consider the new divisor 68 and the new remainder 19,and apply the division lemma to get
68 = 19 x 3 + 11
We consider the new divisor 19 and the new remainder 11,and apply the division lemma to get
19 = 11 x 1 + 8
We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get
11 = 8 x 1 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 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 5191 and 1966 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(19,11) = HCF(68,19) = HCF(87,68) = HCF(155,87) = HCF(552,155) = HCF(707,552) = HCF(1259,707) = HCF(1966,1259) = HCF(5191,1966) .
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Frequently Asked Questions on HCF of 5191, 1966 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 5191, 1966?
Answer: HCF of 5191, 1966 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5191, 1966 using Euclid's Algorithm?
Answer: For arbitrary numbers 5191, 1966 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
