Highest Common Factor of 8153, 3072, 98247 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 8153, 3072, 98247 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8153, 3072, 98247 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 8153, 3072, 98247 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 8153, 3072, 98247 is 1.
HCF(8153, 3072, 98247) = 1
HCF of 8153, 3072, 98247 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8153, 3072, 98247 is 1.
Highest Common Factor of 8153,3072,98247 is 1
Step 1: Since 8153 > 3072, we apply the division lemma to 8153 and 3072, to get
8153 = 3072 x 2 + 2009
Step 2: Since the reminder 3072 ≠ 0, we apply division lemma to 2009 and 3072, to get
3072 = 2009 x 1 + 1063
Step 3: We consider the new divisor 2009 and the new remainder 1063, and apply the division lemma to get
2009 = 1063 x 1 + 946
We consider the new divisor 1063 and the new remainder 946,and apply the division lemma to get
1063 = 946 x 1 + 117
We consider the new divisor 946 and the new remainder 117,and apply the division lemma to get
946 = 117 x 8 + 10
We consider the new divisor 117 and the new remainder 10,and apply the division lemma to get
117 = 10 x 11 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8153 and 3072 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(117,10) = HCF(946,117) = HCF(1063,946) = HCF(2009,1063) = HCF(3072,2009) = HCF(8153,3072) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 98247 > 1, we apply the division lemma to 98247 and 1, to get
98247 = 1 x 98247 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 98247 is 1
Notice that 1 = HCF(98247,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8153, 3072, 98247 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 8153, 3072, 98247?
Answer: HCF of 8153, 3072, 98247 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8153, 3072, 98247 using Euclid's Algorithm?
Answer: For arbitrary numbers 8153, 3072, 98247 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.