Highest Common Factor of 5410, 6866 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 5410, 6866 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5410, 6866 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 5410, 6866 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 5410, 6866 is 2.
HCF(5410, 6866) = 2
HCF of 5410, 6866 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5410, 6866 is 2.
Highest Common Factor of 5410,6866 is 2
Step 1: Since 6866 > 5410, we apply the division lemma to 6866 and 5410, to get
6866 = 5410 x 1 + 1456
Step 2: Since the reminder 5410 ≠ 0, we apply division lemma to 1456 and 5410, to get
5410 = 1456 x 3 + 1042
Step 3: We consider the new divisor 1456 and the new remainder 1042, and apply the division lemma to get
1456 = 1042 x 1 + 414
We consider the new divisor 1042 and the new remainder 414,and apply the division lemma to get
1042 = 414 x 2 + 214
We consider the new divisor 414 and the new remainder 214,and apply the division lemma to get
414 = 214 x 1 + 200
We consider the new divisor 214 and the new remainder 200,and apply the division lemma to get
214 = 200 x 1 + 14
We consider the new divisor 200 and the new remainder 14,and apply the division lemma to get
200 = 14 x 14 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5410 and 6866 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(200,14) = HCF(214,200) = HCF(414,214) = HCF(1042,414) = HCF(1456,1042) = HCF(5410,1456) = HCF(6866,5410) .
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Frequently Asked Questions on HCF of 5410, 6866 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 5410, 6866?
Answer: HCF of 5410, 6866 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5410, 6866 using Euclid's Algorithm?
Answer: For arbitrary numbers 5410, 6866 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.