Highest Common Factor of 631, 914, 340, 90 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 631, 914, 340, 90 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 631, 914, 340, 90 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 631, 914, 340, 90 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 631, 914, 340, 90 is 1.
HCF(631, 914, 340, 90) = 1
HCF of 631, 914, 340, 90 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 631, 914, 340, 90 is 1.
Highest Common Factor of 631,914,340,90 is 1
Step 1: Since 914 > 631, we apply the division lemma to 914 and 631, to get
914 = 631 x 1 + 283
Step 2: Since the reminder 631 ≠ 0, we apply division lemma to 283 and 631, to get
631 = 283 x 2 + 65
Step 3: We consider the new divisor 283 and the new remainder 65, and apply the division lemma to get
283 = 65 x 4 + 23
We consider the new divisor 65 and the new remainder 23,and apply the division lemma to get
65 = 23 x 2 + 19
We consider the new divisor 23 and the new remainder 19,and apply the division lemma to get
23 = 19 x 1 + 4
We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get
19 = 4 x 4 + 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 631 and 914 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(23,19) = HCF(65,23) = HCF(283,65) = HCF(631,283) = HCF(914,631) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 340 > 1, we apply the division lemma to 340 and 1, to get
340 = 1 x 340 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 340 is 1
Notice that 1 = HCF(340,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 90 > 1, we apply the division lemma to 90 and 1, to get
90 = 1 x 90 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 90 is 1
Notice that 1 = HCF(90,1) .
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Frequently Asked Questions on HCF of 631, 914, 340, 90 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 631, 914, 340, 90?
Answer: HCF of 631, 914, 340, 90 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 631, 914, 340, 90 using Euclid's Algorithm?
Answer: For arbitrary numbers 631, 914, 340, 90 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.