Highest Common Factor of 911, 958, 630 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 911, 958, 630 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 911, 958, 630 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 911, 958, 630 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 911, 958, 630 is 1.
HCF(911, 958, 630) = 1
HCF of 911, 958, 630 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 911, 958, 630 is 1.
Highest Common Factor of 911,958,630 is 1
Step 1: Since 958 > 911, we apply the division lemma to 958 and 911, to get
958 = 911 x 1 + 47
Step 2: Since the reminder 911 ≠ 0, we apply division lemma to 47 and 911, to get
911 = 47 x 19 + 18
Step 3: We consider the new divisor 47 and the new remainder 18, and apply the division lemma to get
47 = 18 x 2 + 11
We consider the new divisor 18 and the new remainder 11,and apply the division lemma to get
18 = 11 x 1 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 911 and 958 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(18,11) = HCF(47,18) = HCF(911,47) = HCF(958,911) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 630 > 1, we apply the division lemma to 630 and 1, to get
630 = 1 x 630 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 630 is 1
Notice that 1 = HCF(630,1) .
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Frequently Asked Questions on HCF of 911, 958, 630 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 911, 958, 630?
Answer: HCF of 911, 958, 630 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 911, 958, 630 using Euclid's Algorithm?
Answer: For arbitrary numbers 911, 958, 630 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.