Highest Common Factor of 5447, 3108 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 5447, 3108 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5447, 3108 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 5447, 3108 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 5447, 3108 is 1.
HCF(5447, 3108) = 1
HCF of 5447, 3108 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5447, 3108 is 1.
Highest Common Factor of 5447,3108 is 1
Step 1: Since 5447 > 3108, we apply the division lemma to 5447 and 3108, to get
5447 = 3108 x 1 + 2339
Step 2: Since the reminder 3108 ≠ 0, we apply division lemma to 2339 and 3108, to get
3108 = 2339 x 1 + 769
Step 3: We consider the new divisor 2339 and the new remainder 769, and apply the division lemma to get
2339 = 769 x 3 + 32
We consider the new divisor 769 and the new remainder 32,and apply the division lemma to get
769 = 32 x 24 + 1
We consider the new divisor 32 and the new remainder 1,and apply the division lemma to get
32 = 1 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5447 and 3108 is 1
Notice that 1 = HCF(32,1) = HCF(769,32) = HCF(2339,769) = HCF(3108,2339) = HCF(5447,3108) .
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Frequently Asked Questions on HCF of 5447, 3108 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 5447, 3108?
Answer: HCF of 5447, 3108 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5447, 3108 using Euclid's Algorithm?
Answer: For arbitrary numbers 5447, 3108 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
