Highest Common Factor of 5951, 8918, 95877 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 5951, 8918, 95877 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5951, 8918, 95877 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 5951, 8918, 95877 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 5951, 8918, 95877 is 1.
HCF(5951, 8918, 95877) = 1
HCF of 5951, 8918, 95877 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5951, 8918, 95877 is 1.
Highest Common Factor of 5951,8918,95877 is 1
Step 1: Since 8918 > 5951, we apply the division lemma to 8918 and 5951, to get
8918 = 5951 x 1 + 2967
Step 2: Since the reminder 5951 ≠ 0, we apply division lemma to 2967 and 5951, to get
5951 = 2967 x 2 + 17
Step 3: We consider the new divisor 2967 and the new remainder 17, and apply the division lemma to get
2967 = 17 x 174 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5951 and 8918 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(2967,17) = HCF(5951,2967) = HCF(8918,5951) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 95877 > 1, we apply the division lemma to 95877 and 1, to get
95877 = 1 x 95877 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 95877 is 1
Notice that 1 = HCF(95877,1) .
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Frequently Asked Questions on HCF of 5951, 8918, 95877 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 5951, 8918, 95877?
Answer: HCF of 5951, 8918, 95877 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5951, 8918, 95877 using Euclid's Algorithm?
Answer: For arbitrary numbers 5951, 8918, 95877 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.