Highest Common Factor of 1447, 1046, 80386 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 1447, 1046, 80386 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1447, 1046, 80386 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 1447, 1046, 80386 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 1447, 1046, 80386 is 1.
HCF(1447, 1046, 80386) = 1
HCF of 1447, 1046, 80386 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1447, 1046, 80386 is 1.
Highest Common Factor of 1447,1046,80386 is 1
Step 1: Since 1447 > 1046, we apply the division lemma to 1447 and 1046, to get
1447 = 1046 x 1 + 401
Step 2: Since the reminder 1046 ≠ 0, we apply division lemma to 401 and 1046, to get
1046 = 401 x 2 + 244
Step 3: We consider the new divisor 401 and the new remainder 244, and apply the division lemma to get
401 = 244 x 1 + 157
We consider the new divisor 244 and the new remainder 157,and apply the division lemma to get
244 = 157 x 1 + 87
We consider the new divisor 157 and the new remainder 87,and apply the division lemma to get
157 = 87 x 1 + 70
We consider the new divisor 87 and the new remainder 70,and apply the division lemma to get
87 = 70 x 1 + 17
We consider the new divisor 70 and the new remainder 17,and apply the division lemma to get
70 = 17 x 4 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 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 1447 and 1046 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(70,17) = HCF(87,70) = HCF(157,87) = HCF(244,157) = HCF(401,244) = HCF(1046,401) = HCF(1447,1046) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 80386 > 1, we apply the division lemma to 80386 and 1, to get
80386 = 1 x 80386 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 80386 is 1
Notice that 1 = HCF(80386,1) .
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Frequently Asked Questions on HCF of 1447, 1046, 80386 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 1447, 1046, 80386?
Answer: HCF of 1447, 1046, 80386 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1447, 1046, 80386 using Euclid's Algorithm?
Answer: For arbitrary numbers 1447, 1046, 80386 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
