Highest Common Factor of 955, 344, 287, 29 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, 344, 287, 29 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 955, 344, 287, 29 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, 344, 287, 29 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, 344, 287, 29 is 1.
HCF(955, 344, 287, 29) = 1
HCF of 955, 344, 287, 29 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, 344, 287, 29 is 1.
Highest Common Factor of 955,344,287,29 is 1
Step 1: Since 955 > 344, we apply the division lemma to 955 and 344, to get
955 = 344 x 2 + 267
Step 2: Since the reminder 344 ≠ 0, we apply division lemma to 267 and 344, to get
344 = 267 x 1 + 77
Step 3: We consider the new divisor 267 and the new remainder 77, and apply the division lemma to get
267 = 77 x 3 + 36
We consider the new divisor 77 and the new remainder 36,and apply the division lemma to get
77 = 36 x 2 + 5
We consider the new divisor 36 and the new remainder 5,and apply the division lemma to get
36 = 5 x 7 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 955 and 344 is 1
Notice that 1 = HCF(5,1) = HCF(36,5) = HCF(77,36) = HCF(267,77) = HCF(344,267) = HCF(955,344) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 287 > 1, we apply the division lemma to 287 and 1, to get
287 = 1 x 287 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 287 is 1
Notice that 1 = HCF(287,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 29 > 1, we apply the division lemma to 29 and 1, to get
29 = 1 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 29 is 1
Notice that 1 = HCF(29,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 955, 344, 287, 29 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, 344, 287, 29?
Answer: HCF of 955, 344, 287, 29 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 955, 344, 287, 29 using Euclid's Algorithm?
Answer: For arbitrary numbers 955, 344, 287, 29 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
