Highest Common Factor of 5840, 2214 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 5840, 2214 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5840, 2214 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 5840, 2214 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 5840, 2214 is 2.
HCF(5840, 2214) = 2
HCF of 5840, 2214 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5840, 2214 is 2.
Highest Common Factor of 5840,2214 is 2
Step 1: Since 5840 > 2214, we apply the division lemma to 5840 and 2214, to get
5840 = 2214 x 2 + 1412
Step 2: Since the reminder 2214 ≠ 0, we apply division lemma to 1412 and 2214, to get
2214 = 1412 x 1 + 802
Step 3: We consider the new divisor 1412 and the new remainder 802, and apply the division lemma to get
1412 = 802 x 1 + 610
We consider the new divisor 802 and the new remainder 610,and apply the division lemma to get
802 = 610 x 1 + 192
We consider the new divisor 610 and the new remainder 192,and apply the division lemma to get
610 = 192 x 3 + 34
We consider the new divisor 192 and the new remainder 34,and apply the division lemma to get
192 = 34 x 5 + 22
We consider the new divisor 34 and the new remainder 22,and apply the division lemma to get
34 = 22 x 1 + 12
We consider the new divisor 22 and the new remainder 12,and apply the division lemma to get
22 = 12 x 1 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5840 and 2214 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(22,12) = HCF(34,22) = HCF(192,34) = HCF(610,192) = HCF(802,610) = HCF(1412,802) = HCF(2214,1412) = HCF(5840,2214) .
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Frequently Asked Questions on HCF of 5840, 2214 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 5840, 2214?
Answer: HCF of 5840, 2214 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5840, 2214 using Euclid's Algorithm?
Answer: For arbitrary numbers 5840, 2214 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.