Highest Common Factor of 8060, 5676 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, 5676 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 8060, 5676 is 4 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, 5676 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, 5676 is 4.
HCF(8060, 5676) = 4
HCF of 8060, 5676 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, 5676 is 4.
Highest Common Factor of 8060,5676 is 4
Step 1: Since 8060 > 5676, we apply the division lemma to 8060 and 5676, to get
8060 = 5676 x 1 + 2384
Step 2: Since the reminder 5676 ≠ 0, we apply division lemma to 2384 and 5676, to get
5676 = 2384 x 2 + 908
Step 3: We consider the new divisor 2384 and the new remainder 908, and apply the division lemma to get
2384 = 908 x 2 + 568
We consider the new divisor 908 and the new remainder 568,and apply the division lemma to get
908 = 568 x 1 + 340
We consider the new divisor 568 and the new remainder 340,and apply the division lemma to get
568 = 340 x 1 + 228
We consider the new divisor 340 and the new remainder 228,and apply the division lemma to get
340 = 228 x 1 + 112
We consider the new divisor 228 and the new remainder 112,and apply the division lemma to get
228 = 112 x 2 + 4
We consider the new divisor 112 and the new remainder 4,and apply the division lemma to get
112 = 4 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 8060 and 5676 is 4
Notice that 4 = HCF(112,4) = HCF(228,112) = HCF(340,228) = HCF(568,340) = HCF(908,568) = HCF(2384,908) = HCF(5676,2384) = HCF(8060,5676) .
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Frequently Asked Questions on HCF of 8060, 5676 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, 5676?
Answer: HCF of 8060, 5676 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8060, 5676 using Euclid's Algorithm?
Answer: For arbitrary numbers 8060, 5676 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.