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 9107, 9527 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 9107, 9527 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 9107, 9527 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 9107, 9527 is 7.
HCF(9107, 9527) = 7
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9107, 9527 is 7.
Step 1: Since 9527 > 9107, we apply the division lemma to 9527 and 9107, to get
9527 = 9107 x 1 + 420
Step 2: Since the reminder 9107 ≠ 0, we apply division lemma to 420 and 9107, to get
9107 = 420 x 21 + 287
Step 3: We consider the new divisor 420 and the new remainder 287, and apply the division lemma to get
420 = 287 x 1 + 133
We consider the new divisor 287 and the new remainder 133,and apply the division lemma to get
287 = 133 x 2 + 21
We consider the new divisor 133 and the new remainder 21,and apply the division lemma to get
133 = 21 x 6 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 9107 and 9527 is 7
Notice that 7 = HCF(21,7) = HCF(133,21) = HCF(287,133) = HCF(420,287) = HCF(9107,420) = HCF(9527,9107) .
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 9107, 9527?
Answer: HCF of 9107, 9527 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9107, 9527 using Euclid's Algorithm?
Answer: For arbitrary numbers 9107, 9527 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.