Highest Common Factor of 4808, 870 using Euclid's algorithm
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 4808, 870 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4808, 870 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 4808, 870 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 4808, 870 is 2.
HCF(4808, 870) = 2
HCF of 4808, 870 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4808, 870 is 2.
Highest Common Factor of 4808,870 is 2
Step 1: Since 4808 > 870, we apply the division lemma to 4808 and 870, to get
4808 = 870 x 5 + 458
Step 2: Since the reminder 870 ≠ 0, we apply division lemma to 458 and 870, to get
870 = 458 x 1 + 412
Step 3: We consider the new divisor 458 and the new remainder 412, and apply the division lemma to get
458 = 412 x 1 + 46
We consider the new divisor 412 and the new remainder 46,and apply the division lemma to get
412 = 46 x 8 + 44
We consider the new divisor 46 and the new remainder 44,and apply the division lemma to get
46 = 44 x 1 + 2
We consider the new divisor 44 and the new remainder 2,and apply the division lemma to get
44 = 2 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4808 and 870 is 2
Notice that 2 = HCF(44,2) = HCF(46,44) = HCF(412,46) = HCF(458,412) = HCF(870,458) = HCF(4808,870) .
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Frequently Asked Questions on HCF of 4808, 870 using Euclid's Algorithm
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 4808, 870?
Answer: HCF of 4808, 870 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4808, 870 using Euclid's Algorithm?
Answer: For arbitrary numbers 4808, 870 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.