Highest Common Factor of 9590, 7333 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 9590, 7333 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9590, 7333 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 9590, 7333 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 9590, 7333 is 1.
HCF(9590, 7333) = 1
HCF of 9590, 7333 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9590, 7333 is 1.
Highest Common Factor of 9590,7333 is 1
Step 1: Since 9590 > 7333, we apply the division lemma to 9590 and 7333, to get
9590 = 7333 x 1 + 2257
Step 2: Since the reminder 7333 ≠ 0, we apply division lemma to 2257 and 7333, to get
7333 = 2257 x 3 + 562
Step 3: We consider the new divisor 2257 and the new remainder 562, and apply the division lemma to get
2257 = 562 x 4 + 9
We consider the new divisor 562 and the new remainder 9,and apply the division lemma to get
562 = 9 x 62 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 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 9590 and 7333 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(562,9) = HCF(2257,562) = HCF(7333,2257) = HCF(9590,7333) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9590, 7333 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 9590, 7333?
Answer: HCF of 9590, 7333 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9590, 7333 using Euclid's Algorithm?
Answer: For arbitrary numbers 9590, 7333 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.