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 5060, 9679 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5060, 9679 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 5060, 9679 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 5060, 9679 is 1.
HCF(5060, 9679) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5060, 9679 is 1.
Step 1: Since 9679 > 5060, we apply the division lemma to 9679 and 5060, to get
9679 = 5060 x 1 + 4619
Step 2: Since the reminder 5060 ≠ 0, we apply division lemma to 4619 and 5060, to get
5060 = 4619 x 1 + 441
Step 3: We consider the new divisor 4619 and the new remainder 441, and apply the division lemma to get
4619 = 441 x 10 + 209
We consider the new divisor 441 and the new remainder 209,and apply the division lemma to get
441 = 209 x 2 + 23
We consider the new divisor 209 and the new remainder 23,and apply the division lemma to get
209 = 23 x 9 + 2
We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get
23 = 2 x 11 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5060 and 9679 is 1
Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(209,23) = HCF(441,209) = HCF(4619,441) = HCF(5060,4619) = HCF(9679,5060) .
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 5060, 9679?
Answer: HCF of 5060, 9679 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5060, 9679 using Euclid's Algorithm?
Answer: For arbitrary numbers 5060, 9679 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.