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 6099, 9722 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6099, 9722 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 6099, 9722 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 6099, 9722 is 1.
HCF(6099, 9722) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6099, 9722 is 1.
Step 1: Since 9722 > 6099, we apply the division lemma to 9722 and 6099, to get
9722 = 6099 x 1 + 3623
Step 2: Since the reminder 6099 ≠ 0, we apply division lemma to 3623 and 6099, to get
6099 = 3623 x 1 + 2476
Step 3: We consider the new divisor 3623 and the new remainder 2476, and apply the division lemma to get
3623 = 2476 x 1 + 1147
We consider the new divisor 2476 and the new remainder 1147,and apply the division lemma to get
2476 = 1147 x 2 + 182
We consider the new divisor 1147 and the new remainder 182,and apply the division lemma to get
1147 = 182 x 6 + 55
We consider the new divisor 182 and the new remainder 55,and apply the division lemma to get
182 = 55 x 3 + 17
We consider the new divisor 55 and the new remainder 17,and apply the division lemma to get
55 = 17 x 3 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6099 and 9722 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(55,17) = HCF(182,55) = HCF(1147,182) = HCF(2476,1147) = HCF(3623,2476) = HCF(6099,3623) = HCF(9722,6099) .
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 6099, 9722?
Answer: HCF of 6099, 9722 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6099, 9722 using Euclid's Algorithm?
Answer: For arbitrary numbers 6099, 9722 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.