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 9518, 4319 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9518, 4319 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 9518, 4319 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 9518, 4319 is 1.
HCF(9518, 4319) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9518, 4319 is 1.
Step 1: Since 9518 > 4319, we apply the division lemma to 9518 and 4319, to get
9518 = 4319 x 2 + 880
Step 2: Since the reminder 4319 ≠ 0, we apply division lemma to 880 and 4319, to get
4319 = 880 x 4 + 799
Step 3: We consider the new divisor 880 and the new remainder 799, and apply the division lemma to get
880 = 799 x 1 + 81
We consider the new divisor 799 and the new remainder 81,and apply the division lemma to get
799 = 81 x 9 + 70
We consider the new divisor 81 and the new remainder 70,and apply the division lemma to get
81 = 70 x 1 + 11
We consider the new divisor 70 and the new remainder 11,and apply the division lemma to get
70 = 11 x 6 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 9518 and 4319 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(70,11) = HCF(81,70) = HCF(799,81) = HCF(880,799) = HCF(4319,880) = HCF(9518,4319) .
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 9518, 4319?
Answer: HCF of 9518, 4319 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9518, 4319 using Euclid's Algorithm?
Answer: For arbitrary numbers 9518, 4319 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.