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 9290, 4792 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9290, 4792 is 2 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 9290, 4792 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 9290, 4792 is 2.
HCF(9290, 4792) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9290, 4792 is 2.
Step 1: Since 9290 > 4792, we apply the division lemma to 9290 and 4792, to get
9290 = 4792 x 1 + 4498
Step 2: Since the reminder 4792 ≠ 0, we apply division lemma to 4498 and 4792, to get
4792 = 4498 x 1 + 294
Step 3: We consider the new divisor 4498 and the new remainder 294, and apply the division lemma to get
4498 = 294 x 15 + 88
We consider the new divisor 294 and the new remainder 88,and apply the division lemma to get
294 = 88 x 3 + 30
We consider the new divisor 88 and the new remainder 30,and apply the division lemma to get
88 = 30 x 2 + 28
We consider the new divisor 30 and the new remainder 28,and apply the division lemma to get
30 = 28 x 1 + 2
We consider the new divisor 28 and the new remainder 2,and apply the division lemma to get
28 = 2 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9290 and 4792 is 2
Notice that 2 = HCF(28,2) = HCF(30,28) = HCF(88,30) = HCF(294,88) = HCF(4498,294) = HCF(4792,4498) = HCF(9290,4792) .
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 9290, 4792?
Answer: HCF of 9290, 4792 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9290, 4792 using Euclid's Algorithm?
Answer: For arbitrary numbers 9290, 4792 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.