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 4903, 9219 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4903, 9219 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 4903, 9219 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 4903, 9219 is 1.
HCF(4903, 9219) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4903, 9219 is 1.
Step 1: Since 9219 > 4903, we apply the division lemma to 9219 and 4903, to get
9219 = 4903 x 1 + 4316
Step 2: Since the reminder 4903 ≠ 0, we apply division lemma to 4316 and 4903, to get
4903 = 4316 x 1 + 587
Step 3: We consider the new divisor 4316 and the new remainder 587, and apply the division lemma to get
4316 = 587 x 7 + 207
We consider the new divisor 587 and the new remainder 207,and apply the division lemma to get
587 = 207 x 2 + 173
We consider the new divisor 207 and the new remainder 173,and apply the division lemma to get
207 = 173 x 1 + 34
We consider the new divisor 173 and the new remainder 34,and apply the division lemma to get
173 = 34 x 5 + 3
We consider the new divisor 34 and the new remainder 3,and apply the division lemma to get
34 = 3 x 11 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4903 and 9219 is 1
Notice that 1 = HCF(3,1) = HCF(34,3) = HCF(173,34) = HCF(207,173) = HCF(587,207) = HCF(4316,587) = HCF(4903,4316) = HCF(9219,4903) .
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 4903, 9219?
Answer: HCF of 4903, 9219 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4903, 9219 using Euclid's Algorithm?
Answer: For arbitrary numbers 4903, 9219 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.