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 9076, 4721 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9076, 4721 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 9076, 4721 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 9076, 4721 is 1.
HCF(9076, 4721) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9076, 4721 is 1.
Step 1: Since 9076 > 4721, we apply the division lemma to 9076 and 4721, to get
9076 = 4721 x 1 + 4355
Step 2: Since the reminder 4721 ≠ 0, we apply division lemma to 4355 and 4721, to get
4721 = 4355 x 1 + 366
Step 3: We consider the new divisor 4355 and the new remainder 366, and apply the division lemma to get
4355 = 366 x 11 + 329
We consider the new divisor 366 and the new remainder 329,and apply the division lemma to get
366 = 329 x 1 + 37
We consider the new divisor 329 and the new remainder 37,and apply the division lemma to get
329 = 37 x 8 + 33
We consider the new divisor 37 and the new remainder 33,and apply the division lemma to get
37 = 33 x 1 + 4
We consider the new divisor 33 and the new remainder 4,and apply the division lemma to get
33 = 4 x 8 + 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 9076 and 4721 is 1
Notice that 1 = HCF(4,1) = HCF(33,4) = HCF(37,33) = HCF(329,37) = HCF(366,329) = HCF(4355,366) = HCF(4721,4355) = HCF(9076,4721) .
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 9076, 4721?
Answer: HCF of 9076, 4721 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9076, 4721 using Euclid's Algorithm?
Answer: For arbitrary numbers 9076, 4721 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.