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 9163, 7357 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 9163, 7357 is 7 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 9163, 7357 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 9163, 7357 is 7.
HCF(9163, 7357) = 7
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9163, 7357 is 7.
Step 1: Since 9163 > 7357, we apply the division lemma to 9163 and 7357, to get
9163 = 7357 x 1 + 1806
Step 2: Since the reminder 7357 ≠ 0, we apply division lemma to 1806 and 7357, to get
7357 = 1806 x 4 + 133
Step 3: We consider the new divisor 1806 and the new remainder 133, and apply the division lemma to get
1806 = 133 x 13 + 77
We consider the new divisor 133 and the new remainder 77,and apply the division lemma to get
133 = 77 x 1 + 56
We consider the new divisor 77 and the new remainder 56,and apply the division lemma to get
77 = 56 x 1 + 21
We consider the new divisor 56 and the new remainder 21,and apply the division lemma to get
56 = 21 x 2 + 14
We consider the new divisor 21 and the new remainder 14,and apply the division lemma to get
21 = 14 x 1 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 9163 and 7357 is 7
Notice that 7 = HCF(14,7) = HCF(21,14) = HCF(56,21) = HCF(77,56) = HCF(133,77) = HCF(1806,133) = HCF(7357,1806) = HCF(9163,7357) .
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 9163, 7357?
Answer: HCF of 9163, 7357 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9163, 7357 using Euclid's Algorithm?
Answer: For arbitrary numbers 9163, 7357 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.