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 9326, 7559 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9326, 7559 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 9326, 7559 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 9326, 7559 is 1.
HCF(9326, 7559) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9326, 7559 is 1.
Step 1: Since 9326 > 7559, we apply the division lemma to 9326 and 7559, to get
9326 = 7559 x 1 + 1767
Step 2: Since the reminder 7559 ≠ 0, we apply division lemma to 1767 and 7559, to get
7559 = 1767 x 4 + 491
Step 3: We consider the new divisor 1767 and the new remainder 491, and apply the division lemma to get
1767 = 491 x 3 + 294
We consider the new divisor 491 and the new remainder 294,and apply the division lemma to get
491 = 294 x 1 + 197
We consider the new divisor 294 and the new remainder 197,and apply the division lemma to get
294 = 197 x 1 + 97
We consider the new divisor 197 and the new remainder 97,and apply the division lemma to get
197 = 97 x 2 + 3
We consider the new divisor 97 and the new remainder 3,and apply the division lemma to get
97 = 3 x 32 + 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 9326 and 7559 is 1
Notice that 1 = HCF(3,1) = HCF(97,3) = HCF(197,97) = HCF(294,197) = HCF(491,294) = HCF(1767,491) = HCF(7559,1767) = HCF(9326,7559) .
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 9326, 7559?
Answer: HCF of 9326, 7559 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9326, 7559 using Euclid's Algorithm?
Answer: For arbitrary numbers 9326, 7559 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.