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 9419, 5676 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9419, 5676 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 9419, 5676 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 9419, 5676 is 1.
HCF(9419, 5676) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9419, 5676 is 1.
Step 1: Since 9419 > 5676, we apply the division lemma to 9419 and 5676, to get
9419 = 5676 x 1 + 3743
Step 2: Since the reminder 5676 ≠ 0, we apply division lemma to 3743 and 5676, to get
5676 = 3743 x 1 + 1933
Step 3: We consider the new divisor 3743 and the new remainder 1933, and apply the division lemma to get
3743 = 1933 x 1 + 1810
We consider the new divisor 1933 and the new remainder 1810,and apply the division lemma to get
1933 = 1810 x 1 + 123
We consider the new divisor 1810 and the new remainder 123,and apply the division lemma to get
1810 = 123 x 14 + 88
We consider the new divisor 123 and the new remainder 88,and apply the division lemma to get
123 = 88 x 1 + 35
We consider the new divisor 88 and the new remainder 35,and apply the division lemma to get
88 = 35 x 2 + 18
We consider the new divisor 35 and the new remainder 18,and apply the division lemma to get
35 = 18 x 1 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9419 and 5676 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(35,18) = HCF(88,35) = HCF(123,88) = HCF(1810,123) = HCF(1933,1810) = HCF(3743,1933) = HCF(5676,3743) = HCF(9419,5676) .
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 9419, 5676?
Answer: HCF of 9419, 5676 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9419, 5676 using Euclid's Algorithm?
Answer: For arbitrary numbers 9419, 5676 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.