Highest Common Factor of 4449, 905 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 4449, 905 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4449, 905 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 4449, 905 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 4449, 905 is 1.
HCF(4449, 905) = 1
HCF of 4449, 905 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4449, 905 is 1.
Highest Common Factor of 4449,905 is 1
Step 1: Since 4449 > 905, we apply the division lemma to 4449 and 905, to get
4449 = 905 x 4 + 829
Step 2: Since the reminder 905 ≠ 0, we apply division lemma to 829 and 905, to get
905 = 829 x 1 + 76
Step 3: We consider the new divisor 829 and the new remainder 76, and apply the division lemma to get
829 = 76 x 10 + 69
We consider the new divisor 76 and the new remainder 69,and apply the division lemma to get
76 = 69 x 1 + 7
We consider the new divisor 69 and the new remainder 7,and apply the division lemma to get
69 = 7 x 9 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4449 and 905 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(69,7) = HCF(76,69) = HCF(829,76) = HCF(905,829) = HCF(4449,905) .
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Frequently Asked Questions on HCF of 4449, 905 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 4449, 905?
Answer: HCF of 4449, 905 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4449, 905 using Euclid's Algorithm?
Answer: For arbitrary numbers 4449, 905 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.