Highest Common Factor of 8440, 5427 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 8440, 5427 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8440, 5427 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 8440, 5427 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 8440, 5427 is 1.
HCF(8440, 5427) = 1
HCF of 8440, 5427 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8440, 5427 is 1.
Highest Common Factor of 8440,5427 is 1
Step 1: Since 8440 > 5427, we apply the division lemma to 8440 and 5427, to get
8440 = 5427 x 1 + 3013
Step 2: Since the reminder 5427 ≠ 0, we apply division lemma to 3013 and 5427, to get
5427 = 3013 x 1 + 2414
Step 3: We consider the new divisor 3013 and the new remainder 2414, and apply the division lemma to get
3013 = 2414 x 1 + 599
We consider the new divisor 2414 and the new remainder 599,and apply the division lemma to get
2414 = 599 x 4 + 18
We consider the new divisor 599 and the new remainder 18,and apply the division lemma to get
599 = 18 x 33 + 5
We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get
18 = 5 x 3 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8440 and 5427 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(599,18) = HCF(2414,599) = HCF(3013,2414) = HCF(5427,3013) = HCF(8440,5427) .
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Frequently Asked Questions on HCF of 8440, 5427 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 8440, 5427?
Answer: HCF of 8440, 5427 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8440, 5427 using Euclid's Algorithm?
Answer: For arbitrary numbers 8440, 5427 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
