Highest Common Factor of 911, 670, 931 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, 670, 931 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 911, 670, 931 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, 670, 931 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, 670, 931 is 1.
HCF(911, 670, 931) = 1
HCF of 911, 670, 931 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, 670, 931 is 1.
Highest Common Factor of 911,670,931 is 1
Step 1: Since 911 > 670, we apply the division lemma to 911 and 670, to get
911 = 670 x 1 + 241
Step 2: Since the reminder 670 ≠ 0, we apply division lemma to 241 and 670, to get
670 = 241 x 2 + 188
Step 3: We consider the new divisor 241 and the new remainder 188, and apply the division lemma to get
241 = 188 x 1 + 53
We consider the new divisor 188 and the new remainder 53,and apply the division lemma to get
188 = 53 x 3 + 29
We consider the new divisor 53 and the new remainder 29,and apply the division lemma to get
53 = 29 x 1 + 24
We consider the new divisor 29 and the new remainder 24,and apply the division lemma to get
29 = 24 x 1 + 5
We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get
24 = 5 x 4 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 911 and 670 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(29,24) = HCF(53,29) = HCF(188,53) = HCF(241,188) = HCF(670,241) = HCF(911,670) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 931 > 1, we apply the division lemma to 931 and 1, to get
931 = 1 x 931 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 931 is 1
Notice that 1 = HCF(931,1) .
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Frequently Asked Questions on HCF of 911, 670, 931 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, 670, 931?
Answer: HCF of 911, 670, 931 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 911, 670, 931 using Euclid's Algorithm?
Answer: For arbitrary numbers 911, 670, 931 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
