Highest Common Factor of 5295, 3884 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 5295, 3884 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5295, 3884 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 5295, 3884 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 5295, 3884 is 1.
HCF(5295, 3884) = 1
HCF of 5295, 3884 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5295, 3884 is 1.
Highest Common Factor of 5295,3884 is 1
Step 1: Since 5295 > 3884, we apply the division lemma to 5295 and 3884, to get
5295 = 3884 x 1 + 1411
Step 2: Since the reminder 3884 ≠ 0, we apply division lemma to 1411 and 3884, to get
3884 = 1411 x 2 + 1062
Step 3: We consider the new divisor 1411 and the new remainder 1062, and apply the division lemma to get
1411 = 1062 x 1 + 349
We consider the new divisor 1062 and the new remainder 349,and apply the division lemma to get
1062 = 349 x 3 + 15
We consider the new divisor 349 and the new remainder 15,and apply the division lemma to get
349 = 15 x 23 + 4
We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get
15 = 4 x 3 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5295 and 3884 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(349,15) = HCF(1062,349) = HCF(1411,1062) = HCF(3884,1411) = HCF(5295,3884) .
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Frequently Asked Questions on HCF of 5295, 3884 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 5295, 3884?
Answer: HCF of 5295, 3884 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5295, 3884 using Euclid's Algorithm?
Answer: For arbitrary numbers 5295, 3884 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.