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 6052, 8578 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6052, 8578 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 6052, 8578 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 6052, 8578 is 2.
HCF(6052, 8578) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6052, 8578 is 2.
Step 1: Since 8578 > 6052, we apply the division lemma to 8578 and 6052, to get
8578 = 6052 x 1 + 2526
Step 2: Since the reminder 6052 ≠ 0, we apply division lemma to 2526 and 6052, to get
6052 = 2526 x 2 + 1000
Step 3: We consider the new divisor 2526 and the new remainder 1000, and apply the division lemma to get
2526 = 1000 x 2 + 526
We consider the new divisor 1000 and the new remainder 526,and apply the division lemma to get
1000 = 526 x 1 + 474
We consider the new divisor 526 and the new remainder 474,and apply the division lemma to get
526 = 474 x 1 + 52
We consider the new divisor 474 and the new remainder 52,and apply the division lemma to get
474 = 52 x 9 + 6
We consider the new divisor 52 and the new remainder 6,and apply the division lemma to get
52 = 6 x 8 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6052 and 8578 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(52,6) = HCF(474,52) = HCF(526,474) = HCF(1000,526) = HCF(2526,1000) = HCF(6052,2526) = HCF(8578,6052) .
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 6052, 8578?
Answer: HCF of 6052, 8578 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6052, 8578 using Euclid's Algorithm?
Answer: For arbitrary numbers 6052, 8578 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.