Highest Common Factor of 3178, 4447 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 3178, 4447 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3178, 4447 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 3178, 4447 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 3178, 4447 is 1.
HCF(3178, 4447) = 1
HCF of 3178, 4447 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3178, 4447 is 1.
Highest Common Factor of 3178,4447 is 1
Step 1: Since 4447 > 3178, we apply the division lemma to 4447 and 3178, to get
4447 = 3178 x 1 + 1269
Step 2: Since the reminder 3178 ≠ 0, we apply division lemma to 1269 and 3178, to get
3178 = 1269 x 2 + 640
Step 3: We consider the new divisor 1269 and the new remainder 640, and apply the division lemma to get
1269 = 640 x 1 + 629
We consider the new divisor 640 and the new remainder 629,and apply the division lemma to get
640 = 629 x 1 + 11
We consider the new divisor 629 and the new remainder 11,and apply the division lemma to get
629 = 11 x 57 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 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 3178 and 4447 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(629,11) = HCF(640,629) = HCF(1269,640) = HCF(3178,1269) = HCF(4447,3178) .
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Frequently Asked Questions on HCF of 3178, 4447 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 3178, 4447?
Answer: HCF of 3178, 4447 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3178, 4447 using Euclid's Algorithm?
Answer: For arbitrary numbers 3178, 4447 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.