Highest Common Factor of 8447, 8949 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 8447, 8949 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8447, 8949 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 8447, 8949 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 8447, 8949 is 1.
HCF(8447, 8949) = 1
HCF of 8447, 8949 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8447, 8949 is 1.
Highest Common Factor of 8447,8949 is 1
Step 1: Since 8949 > 8447, we apply the division lemma to 8949 and 8447, to get
8949 = 8447 x 1 + 502
Step 2: Since the reminder 8447 ≠ 0, we apply division lemma to 502 and 8447, to get
8447 = 502 x 16 + 415
Step 3: We consider the new divisor 502 and the new remainder 415, and apply the division lemma to get
502 = 415 x 1 + 87
We consider the new divisor 415 and the new remainder 87,and apply the division lemma to get
415 = 87 x 4 + 67
We consider the new divisor 87 and the new remainder 67,and apply the division lemma to get
87 = 67 x 1 + 20
We consider the new divisor 67 and the new remainder 20,and apply the division lemma to get
67 = 20 x 3 + 7
We consider the new divisor 20 and the new remainder 7,and apply the division lemma to get
20 = 7 x 2 + 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 8447 and 8949 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(20,7) = HCF(67,20) = HCF(87,67) = HCF(415,87) = HCF(502,415) = HCF(8447,502) = HCF(8949,8447) .
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Frequently Asked Questions on HCF of 8447, 8949 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 8447, 8949?
Answer: HCF of 8447, 8949 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8447, 8949 using Euclid's Algorithm?
Answer: For arbitrary numbers 8447, 8949 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.