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 9411, 2530 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9411, 2530 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 9411, 2530 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 9411, 2530 is 1.
HCF(9411, 2530) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9411, 2530 is 1.
Step 1: Since 9411 > 2530, we apply the division lemma to 9411 and 2530, to get
9411 = 2530 x 3 + 1821
Step 2: Since the reminder 2530 ≠ 0, we apply division lemma to 1821 and 2530, to get
2530 = 1821 x 1 + 709
Step 3: We consider the new divisor 1821 and the new remainder 709, and apply the division lemma to get
1821 = 709 x 2 + 403
We consider the new divisor 709 and the new remainder 403,and apply the division lemma to get
709 = 403 x 1 + 306
We consider the new divisor 403 and the new remainder 306,and apply the division lemma to get
403 = 306 x 1 + 97
We consider the new divisor 306 and the new remainder 97,and apply the division lemma to get
306 = 97 x 3 + 15
We consider the new divisor 97 and the new remainder 15,and apply the division lemma to get
97 = 15 x 6 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 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 9411 and 2530 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(97,15) = HCF(306,97) = HCF(403,306) = HCF(709,403) = HCF(1821,709) = HCF(2530,1821) = HCF(9411,2530) .
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 9411, 2530?
Answer: HCF of 9411, 2530 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9411, 2530 using Euclid's Algorithm?
Answer: For arbitrary numbers 9411, 2530 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.