Highest Common Factor of 8510, 4808 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 8510, 4808 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8510, 4808 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 8510, 4808 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 8510, 4808 is 2.
HCF(8510, 4808) = 2
HCF of 8510, 4808 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8510, 4808 is 2.
Highest Common Factor of 8510,4808 is 2
Step 1: Since 8510 > 4808, we apply the division lemma to 8510 and 4808, to get
8510 = 4808 x 1 + 3702
Step 2: Since the reminder 4808 ≠ 0, we apply division lemma to 3702 and 4808, to get
4808 = 3702 x 1 + 1106
Step 3: We consider the new divisor 3702 and the new remainder 1106, and apply the division lemma to get
3702 = 1106 x 3 + 384
We consider the new divisor 1106 and the new remainder 384,and apply the division lemma to get
1106 = 384 x 2 + 338
We consider the new divisor 384 and the new remainder 338,and apply the division lemma to get
384 = 338 x 1 + 46
We consider the new divisor 338 and the new remainder 46,and apply the division lemma to get
338 = 46 x 7 + 16
We consider the new divisor 46 and the new remainder 16,and apply the division lemma to get
46 = 16 x 2 + 14
We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get
16 = 14 x 1 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8510 and 4808 is 2
Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(46,16) = HCF(338,46) = HCF(384,338) = HCF(1106,384) = HCF(3702,1106) = HCF(4808,3702) = HCF(8510,4808) .
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Frequently Asked Questions on HCF of 8510, 4808 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 8510, 4808?
Answer: HCF of 8510, 4808 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8510, 4808 using Euclid's Algorithm?
Answer: For arbitrary numbers 8510, 4808 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.