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 9276, 7635 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9276, 7635 is 3 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 9276, 7635 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 9276, 7635 is 3.
HCF(9276, 7635) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9276, 7635 is 3.
Step 1: Since 9276 > 7635, we apply the division lemma to 9276 and 7635, to get
9276 = 7635 x 1 + 1641
Step 2: Since the reminder 7635 ≠ 0, we apply division lemma to 1641 and 7635, to get
7635 = 1641 x 4 + 1071
Step 3: We consider the new divisor 1641 and the new remainder 1071, and apply the division lemma to get
1641 = 1071 x 1 + 570
We consider the new divisor 1071 and the new remainder 570,and apply the division lemma to get
1071 = 570 x 1 + 501
We consider the new divisor 570 and the new remainder 501,and apply the division lemma to get
570 = 501 x 1 + 69
We consider the new divisor 501 and the new remainder 69,and apply the division lemma to get
501 = 69 x 7 + 18
We consider the new divisor 69 and the new remainder 18,and apply the division lemma to get
69 = 18 x 3 + 15
We consider the new divisor 18 and the new remainder 15,and apply the division lemma to get
18 = 15 x 1 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9276 and 7635 is 3
Notice that 3 = HCF(15,3) = HCF(18,15) = HCF(69,18) = HCF(501,69) = HCF(570,501) = HCF(1071,570) = HCF(1641,1071) = HCF(7635,1641) = HCF(9276,7635) .
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 9276, 7635?
Answer: HCF of 9276, 7635 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9276, 7635 using Euclid's Algorithm?
Answer: For arbitrary numbers 9276, 7635 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.