Highest Common Factor of 955, 587, 846 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, 587, 846 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 955, 587, 846 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, 587, 846 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, 587, 846 is 1.
HCF(955, 587, 846) = 1
HCF of 955, 587, 846 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, 587, 846 is 1.
Highest Common Factor of 955,587,846 is 1
Step 1: Since 955 > 587, we apply the division lemma to 955 and 587, to get
955 = 587 x 1 + 368
Step 2: Since the reminder 587 ≠ 0, we apply division lemma to 368 and 587, to get
587 = 368 x 1 + 219
Step 3: We consider the new divisor 368 and the new remainder 219, and apply the division lemma to get
368 = 219 x 1 + 149
We consider the new divisor 219 and the new remainder 149,and apply the division lemma to get
219 = 149 x 1 + 70
We consider the new divisor 149 and the new remainder 70,and apply the division lemma to get
149 = 70 x 2 + 9
We consider the new divisor 70 and the new remainder 9,and apply the division lemma to get
70 = 9 x 7 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 955 and 587 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(70,9) = HCF(149,70) = HCF(219,149) = HCF(368,219) = HCF(587,368) = HCF(955,587) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 846 > 1, we apply the division lemma to 846 and 1, to get
846 = 1 x 846 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 846 is 1
Notice that 1 = HCF(846,1) .
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Frequently Asked Questions on HCF of 955, 587, 846 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, 587, 846?
Answer: HCF of 955, 587, 846 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 955, 587, 846 using Euclid's Algorithm?
Answer: For arbitrary numbers 955, 587, 846 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.