Highest Common Factor of 5314, 3846 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 5314, 3846 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5314, 3846 is 2 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 5314, 3846 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 5314, 3846 is 2.
HCF(5314, 3846) = 2
HCF of 5314, 3846 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5314, 3846 is 2.
Highest Common Factor of 5314,3846 is 2
Step 1: Since 5314 > 3846, we apply the division lemma to 5314 and 3846, to get
5314 = 3846 x 1 + 1468
Step 2: Since the reminder 3846 ≠ 0, we apply division lemma to 1468 and 3846, to get
3846 = 1468 x 2 + 910
Step 3: We consider the new divisor 1468 and the new remainder 910, and apply the division lemma to get
1468 = 910 x 1 + 558
We consider the new divisor 910 and the new remainder 558,and apply the division lemma to get
910 = 558 x 1 + 352
We consider the new divisor 558 and the new remainder 352,and apply the division lemma to get
558 = 352 x 1 + 206
We consider the new divisor 352 and the new remainder 206,and apply the division lemma to get
352 = 206 x 1 + 146
We consider the new divisor 206 and the new remainder 146,and apply the division lemma to get
206 = 146 x 1 + 60
We consider the new divisor 146 and the new remainder 60,and apply the division lemma to get
146 = 60 x 2 + 26
We consider the new divisor 60 and the new remainder 26,and apply the division lemma to get
60 = 26 x 2 + 8
We consider the new divisor 26 and the new remainder 8,and apply the division lemma to get
26 = 8 x 3 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5314 and 3846 is 2
Notice that 2 = HCF(8,2) = HCF(26,8) = HCF(60,26) = HCF(146,60) = HCF(206,146) = HCF(352,206) = HCF(558,352) = HCF(910,558) = HCF(1468,910) = HCF(3846,1468) = HCF(5314,3846) .
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Frequently Asked Questions on HCF of 5314, 3846 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 5314, 3846?
Answer: HCF of 5314, 3846 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5314, 3846 using Euclid's Algorithm?
Answer: For arbitrary numbers 5314, 3846 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.