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 6534, 1427, 45595 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6534, 1427, 45595 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 6534, 1427, 45595 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 6534, 1427, 45595 is 1.
HCF(6534, 1427, 45595) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6534, 1427, 45595 is 1.
Step 1: Since 6534 > 1427, we apply the division lemma to 6534 and 1427, to get
6534 = 1427 x 4 + 826
Step 2: Since the reminder 1427 ≠ 0, we apply division lemma to 826 and 1427, to get
1427 = 826 x 1 + 601
Step 3: We consider the new divisor 826 and the new remainder 601, and apply the division lemma to get
826 = 601 x 1 + 225
We consider the new divisor 601 and the new remainder 225,and apply the division lemma to get
601 = 225 x 2 + 151
We consider the new divisor 225 and the new remainder 151,and apply the division lemma to get
225 = 151 x 1 + 74
We consider the new divisor 151 and the new remainder 74,and apply the division lemma to get
151 = 74 x 2 + 3
We consider the new divisor 74 and the new remainder 3,and apply the division lemma to get
74 = 3 x 24 + 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 6534 and 1427 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(74,3) = HCF(151,74) = HCF(225,151) = HCF(601,225) = HCF(826,601) = HCF(1427,826) = HCF(6534,1427) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 45595 > 1, we apply the division lemma to 45595 and 1, to get
45595 = 1 x 45595 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 45595 is 1
Notice that 1 = HCF(45595,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 6534, 1427, 45595?
Answer: HCF of 6534, 1427, 45595 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6534, 1427, 45595 using Euclid's Algorithm?
Answer: For arbitrary numbers 6534, 1427, 45595 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.