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 1124, 6423, 70856 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1124, 6423, 70856 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 1124, 6423, 70856 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 1124, 6423, 70856 is 1.
HCF(1124, 6423, 70856) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1124, 6423, 70856 is 1.
Step 1: Since 6423 > 1124, we apply the division lemma to 6423 and 1124, to get
6423 = 1124 x 5 + 803
Step 2: Since the reminder 1124 ≠ 0, we apply division lemma to 803 and 1124, to get
1124 = 803 x 1 + 321
Step 3: We consider the new divisor 803 and the new remainder 321, and apply the division lemma to get
803 = 321 x 2 + 161
We consider the new divisor 321 and the new remainder 161,and apply the division lemma to get
321 = 161 x 1 + 160
We consider the new divisor 161 and the new remainder 160,and apply the division lemma to get
161 = 160 x 1 + 1
We consider the new divisor 160 and the new remainder 1,and apply the division lemma to get
160 = 1 x 160 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1124 and 6423 is 1
Notice that 1 = HCF(160,1) = HCF(161,160) = HCF(321,161) = HCF(803,321) = HCF(1124,803) = HCF(6423,1124) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 70856 > 1, we apply the division lemma to 70856 and 1, to get
70856 = 1 x 70856 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70856 is 1
Notice that 1 = HCF(70856,1) .
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 1124, 6423, 70856?
Answer: HCF of 1124, 6423, 70856 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1124, 6423, 70856 using Euclid's Algorithm?
Answer: For arbitrary numbers 1124, 6423, 70856 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.