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 4985, 8261 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4985, 8261 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 4985, 8261 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 4985, 8261 is 1.
HCF(4985, 8261) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4985, 8261 is 1.
Step 1: Since 8261 > 4985, we apply the division lemma to 8261 and 4985, to get
8261 = 4985 x 1 + 3276
Step 2: Since the reminder 4985 ≠ 0, we apply division lemma to 3276 and 4985, to get
4985 = 3276 x 1 + 1709
Step 3: We consider the new divisor 3276 and the new remainder 1709, and apply the division lemma to get
3276 = 1709 x 1 + 1567
We consider the new divisor 1709 and the new remainder 1567,and apply the division lemma to get
1709 = 1567 x 1 + 142
We consider the new divisor 1567 and the new remainder 142,and apply the division lemma to get
1567 = 142 x 11 + 5
We consider the new divisor 142 and the new remainder 5,and apply the division lemma to get
142 = 5 x 28 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 4985 and 8261 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(142,5) = HCF(1567,142) = HCF(1709,1567) = HCF(3276,1709) = HCF(4985,3276) = HCF(8261,4985) .
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 4985, 8261?
Answer: HCF of 4985, 8261 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4985, 8261 using Euclid's Algorithm?
Answer: For arbitrary numbers 4985, 8261 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.