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 4886, 3210 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4886, 3210 is 2 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 4886, 3210 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 4886, 3210 is 2.
HCF(4886, 3210) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4886, 3210 is 2.
Step 1: Since 4886 > 3210, we apply the division lemma to 4886 and 3210, to get
4886 = 3210 x 1 + 1676
Step 2: Since the reminder 3210 ≠ 0, we apply division lemma to 1676 and 3210, to get
3210 = 1676 x 1 + 1534
Step 3: We consider the new divisor 1676 and the new remainder 1534, and apply the division lemma to get
1676 = 1534 x 1 + 142
We consider the new divisor 1534 and the new remainder 142,and apply the division lemma to get
1534 = 142 x 10 + 114
We consider the new divisor 142 and the new remainder 114,and apply the division lemma to get
142 = 114 x 1 + 28
We consider the new divisor 114 and the new remainder 28,and apply the division lemma to get
114 = 28 x 4 + 2
We consider the new divisor 28 and the new remainder 2,and apply the division lemma to get
28 = 2 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4886 and 3210 is 2
Notice that 2 = HCF(28,2) = HCF(114,28) = HCF(142,114) = HCF(1534,142) = HCF(1676,1534) = HCF(3210,1676) = HCF(4886,3210) .
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 4886, 3210?
Answer: HCF of 4886, 3210 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4886, 3210 using Euclid's Algorithm?
Answer: For arbitrary numbers 4886, 3210 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.