Highest Common Factor of 8574, 6238 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 8574, 6238 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8574, 6238 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 8574, 6238 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 8574, 6238 is 2.
HCF(8574, 6238) = 2
HCF of 8574, 6238 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8574, 6238 is 2.
Highest Common Factor of 8574,6238 is 2
Step 1: Since 8574 > 6238, we apply the division lemma to 8574 and 6238, to get
8574 = 6238 x 1 + 2336
Step 2: Since the reminder 6238 ≠ 0, we apply division lemma to 2336 and 6238, to get
6238 = 2336 x 2 + 1566
Step 3: We consider the new divisor 2336 and the new remainder 1566, and apply the division lemma to get
2336 = 1566 x 1 + 770
We consider the new divisor 1566 and the new remainder 770,and apply the division lemma to get
1566 = 770 x 2 + 26
We consider the new divisor 770 and the new remainder 26,and apply the division lemma to get
770 = 26 x 29 + 16
We consider the new divisor 26 and the new remainder 16,and apply the division lemma to get
26 = 16 x 1 + 10
We consider the new divisor 16 and the new remainder 10,and apply the division lemma to get
16 = 10 x 1 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 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 8574 and 6238 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(26,16) = HCF(770,26) = HCF(1566,770) = HCF(2336,1566) = HCF(6238,2336) = HCF(8574,6238) .
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Frequently Asked Questions on HCF of 8574, 6238 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 8574, 6238?
Answer: HCF of 8574, 6238 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8574, 6238 using Euclid's Algorithm?
Answer: For arbitrary numbers 8574, 6238 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
