Highest Common Factor of 495, 673, 949 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 495, 673, 949 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 495, 673, 949 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 495, 673, 949 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 495, 673, 949 is 1.
HCF(495, 673, 949) = 1
HCF of 495, 673, 949 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 495, 673, 949 is 1.
Highest Common Factor of 495,673,949 is 1
Step 1: Since 673 > 495, we apply the division lemma to 673 and 495, to get
673 = 495 x 1 + 178
Step 2: Since the reminder 495 ≠ 0, we apply division lemma to 178 and 495, to get
495 = 178 x 2 + 139
Step 3: We consider the new divisor 178 and the new remainder 139, and apply the division lemma to get
178 = 139 x 1 + 39
We consider the new divisor 139 and the new remainder 39,and apply the division lemma to get
139 = 39 x 3 + 22
We consider the new divisor 39 and the new remainder 22,and apply the division lemma to get
39 = 22 x 1 + 17
We consider the new divisor 22 and the new remainder 17,and apply the division lemma to get
22 = 17 x 1 + 5
We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get
17 = 5 x 3 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 495 and 673 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(22,17) = HCF(39,22) = HCF(139,39) = HCF(178,139) = HCF(495,178) = HCF(673,495) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 949 > 1, we apply the division lemma to 949 and 1, to get
949 = 1 x 949 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 949 is 1
Notice that 1 = HCF(949,1) .
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Frequently Asked Questions on HCF of 495, 673, 949 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 495, 673, 949?
Answer: HCF of 495, 673, 949 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 495, 673, 949 using Euclid's Algorithm?
Answer: For arbitrary numbers 495, 673, 949 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.