Highest Common Factor of 955, 5096, 1589 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 955, 5096, 1589 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 955, 5096, 1589 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 955, 5096, 1589 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 955, 5096, 1589 is 1.
HCF(955, 5096, 1589) = 1
HCF of 955, 5096, 1589 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 955, 5096, 1589 is 1.
Highest Common Factor of 955,5096,1589 is 1
Step 1: Since 5096 > 955, we apply the division lemma to 5096 and 955, to get
5096 = 955 x 5 + 321
Step 2: Since the reminder 955 ≠ 0, we apply division lemma to 321 and 955, to get
955 = 321 x 2 + 313
Step 3: We consider the new divisor 321 and the new remainder 313, and apply the division lemma to get
321 = 313 x 1 + 8
We consider the new divisor 313 and the new remainder 8,and apply the division lemma to get
313 = 8 x 39 + 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 955 and 5096 is 1
Notice that 1 = HCF(8,1) = HCF(313,8) = HCF(321,313) = HCF(955,321) = HCF(5096,955) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1589 > 1, we apply the division lemma to 1589 and 1, to get
1589 = 1 x 1589 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1589 is 1
Notice that 1 = HCF(1589,1) .
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Frequently Asked Questions on HCF of 955, 5096, 1589 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 955, 5096, 1589?
Answer: HCF of 955, 5096, 1589 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 955, 5096, 1589 using Euclid's Algorithm?
Answer: For arbitrary numbers 955, 5096, 1589 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.