Highest Common Factor of 456, 249, 677, 749 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 456, 249, 677, 749 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 456, 249, 677, 749 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 456, 249, 677, 749 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 456, 249, 677, 749 is 1.
HCF(456, 249, 677, 749) = 1
HCF of 456, 249, 677, 749 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 456, 249, 677, 749 is 1.
Highest Common Factor of 456,249,677,749 is 1
Step 1: Since 456 > 249, we apply the division lemma to 456 and 249, to get
456 = 249 x 1 + 207
Step 2: Since the reminder 249 ≠ 0, we apply division lemma to 207 and 249, to get
249 = 207 x 1 + 42
Step 3: We consider the new divisor 207 and the new remainder 42, and apply the division lemma to get
207 = 42 x 4 + 39
We consider the new divisor 42 and the new remainder 39,and apply the division lemma to get
42 = 39 x 1 + 3
We consider the new divisor 39 and the new remainder 3,and apply the division lemma to get
39 = 3 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 456 and 249 is 3
Notice that 3 = HCF(39,3) = HCF(42,39) = HCF(207,42) = HCF(249,207) = HCF(456,249) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 677 > 3, we apply the division lemma to 677 and 3, to get
677 = 3 x 225 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: 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 3 and 677 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(677,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 749 > 1, we apply the division lemma to 749 and 1, to get
749 = 1 x 749 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 749 is 1
Notice that 1 = HCF(749,1) .
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Frequently Asked Questions on HCF of 456, 249, 677, 749 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 456, 249, 677, 749?
Answer: HCF of 456, 249, 677, 749 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 456, 249, 677, 749 using Euclid's Algorithm?
Answer: For arbitrary numbers 456, 249, 677, 749 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.