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 9162, 7273 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9162, 7273 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 9162, 7273 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 9162, 7273 is 1.
HCF(9162, 7273) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9162, 7273 is 1.
Step 1: Since 9162 > 7273, we apply the division lemma to 9162 and 7273, to get
9162 = 7273 x 1 + 1889
Step 2: Since the reminder 7273 ≠ 0, we apply division lemma to 1889 and 7273, to get
7273 = 1889 x 3 + 1606
Step 3: We consider the new divisor 1889 and the new remainder 1606, and apply the division lemma to get
1889 = 1606 x 1 + 283
We consider the new divisor 1606 and the new remainder 283,and apply the division lemma to get
1606 = 283 x 5 + 191
We consider the new divisor 283 and the new remainder 191,and apply the division lemma to get
283 = 191 x 1 + 92
We consider the new divisor 191 and the new remainder 92,and apply the division lemma to get
191 = 92 x 2 + 7
We consider the new divisor 92 and the new remainder 7,and apply the division lemma to get
92 = 7 x 13 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9162 and 7273 is 1
Notice that 1 = HCF(7,1) = HCF(92,7) = HCF(191,92) = HCF(283,191) = HCF(1606,283) = HCF(1889,1606) = HCF(7273,1889) = HCF(9162,7273) .
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 9162, 7273?
Answer: HCF of 9162, 7273 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9162, 7273 using Euclid's Algorithm?
Answer: For arbitrary numbers 9162, 7273 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.