Highest Common Factor of 5366, 3514 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 5366, 3514 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5366, 3514 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 5366, 3514 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 5366, 3514 is 2.
HCF(5366, 3514) = 2
HCF of 5366, 3514 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5366, 3514 is 2.
Highest Common Factor of 5366,3514 is 2
Step 1: Since 5366 > 3514, we apply the division lemma to 5366 and 3514, to get
5366 = 3514 x 1 + 1852
Step 2: Since the reminder 3514 ≠ 0, we apply division lemma to 1852 and 3514, to get
3514 = 1852 x 1 + 1662
Step 3: We consider the new divisor 1852 and the new remainder 1662, and apply the division lemma to get
1852 = 1662 x 1 + 190
We consider the new divisor 1662 and the new remainder 190,and apply the division lemma to get
1662 = 190 x 8 + 142
We consider the new divisor 190 and the new remainder 142,and apply the division lemma to get
190 = 142 x 1 + 48
We consider the new divisor 142 and the new remainder 48,and apply the division lemma to get
142 = 48 x 2 + 46
We consider the new divisor 48 and the new remainder 46,and apply the division lemma to get
48 = 46 x 1 + 2
We consider the new divisor 46 and the new remainder 2,and apply the division lemma to get
46 = 2 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5366 and 3514 is 2
Notice that 2 = HCF(46,2) = HCF(48,46) = HCF(142,48) = HCF(190,142) = HCF(1662,190) = HCF(1852,1662) = HCF(3514,1852) = HCF(5366,3514) .
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Frequently Asked Questions on HCF of 5366, 3514 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 5366, 3514?
Answer: HCF of 5366, 3514 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5366, 3514 using Euclid's Algorithm?
Answer: For arbitrary numbers 5366, 3514 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.