Highest Common Factor of 8060, 5110 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 8060, 5110 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 8060, 5110 is 10 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 8060, 5110 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 8060, 5110 is 10.
HCF(8060, 5110) = 10
HCF of 8060, 5110 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8060, 5110 is 10.
Highest Common Factor of 8060,5110 is 10
Step 1: Since 8060 > 5110, we apply the division lemma to 8060 and 5110, to get
8060 = 5110 x 1 + 2950
Step 2: Since the reminder 5110 ≠ 0, we apply division lemma to 2950 and 5110, to get
5110 = 2950 x 1 + 2160
Step 3: We consider the new divisor 2950 and the new remainder 2160, and apply the division lemma to get
2950 = 2160 x 1 + 790
We consider the new divisor 2160 and the new remainder 790,and apply the division lemma to get
2160 = 790 x 2 + 580
We consider the new divisor 790 and the new remainder 580,and apply the division lemma to get
790 = 580 x 1 + 210
We consider the new divisor 580 and the new remainder 210,and apply the division lemma to get
580 = 210 x 2 + 160
We consider the new divisor 210 and the new remainder 160,and apply the division lemma to get
210 = 160 x 1 + 50
We consider the new divisor 160 and the new remainder 50,and apply the division lemma to get
160 = 50 x 3 + 10
We consider the new divisor 50 and the new remainder 10,and apply the division lemma to get
50 = 10 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 8060 and 5110 is 10
Notice that 10 = HCF(50,10) = HCF(160,50) = HCF(210,160) = HCF(580,210) = HCF(790,580) = HCF(2160,790) = HCF(2950,2160) = HCF(5110,2950) = HCF(8060,5110) .
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Frequently Asked Questions on HCF of 8060, 5110 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 8060, 5110?
Answer: HCF of 8060, 5110 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8060, 5110 using Euclid's Algorithm?
Answer: For arbitrary numbers 8060, 5110 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.