Highest Common Factor of 6292, 9011, 72928 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 6292, 9011, 72928 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6292, 9011, 72928 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 6292, 9011, 72928 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 6292, 9011, 72928 is 1.
HCF(6292, 9011, 72928) = 1
HCF of 6292, 9011, 72928 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6292, 9011, 72928 is 1.
Highest Common Factor of 6292,9011,72928 is 1
Step 1: Since 9011 > 6292, we apply the division lemma to 9011 and 6292, to get
9011 = 6292 x 1 + 2719
Step 2: Since the reminder 6292 ≠ 0, we apply division lemma to 2719 and 6292, to get
6292 = 2719 x 2 + 854
Step 3: We consider the new divisor 2719 and the new remainder 854, and apply the division lemma to get
2719 = 854 x 3 + 157
We consider the new divisor 854 and the new remainder 157,and apply the division lemma to get
854 = 157 x 5 + 69
We consider the new divisor 157 and the new remainder 69,and apply the division lemma to get
157 = 69 x 2 + 19
We consider the new divisor 69 and the new remainder 19,and apply the division lemma to get
69 = 19 x 3 + 12
We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get
19 = 12 x 1 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 6292 and 9011 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(69,19) = HCF(157,69) = HCF(854,157) = HCF(2719,854) = HCF(6292,2719) = HCF(9011,6292) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 72928 > 1, we apply the division lemma to 72928 and 1, to get
72928 = 1 x 72928 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 72928 is 1
Notice that 1 = HCF(72928,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6292, 9011, 72928 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 6292, 9011, 72928?
Answer: HCF of 6292, 9011, 72928 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6292, 9011, 72928 using Euclid's Algorithm?
Answer: For arbitrary numbers 6292, 9011, 72928 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
