Highest Common Factor of 202, 8594, 6674 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 202, 8594, 6674 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 202, 8594, 6674 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 202, 8594, 6674 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 202, 8594, 6674 is 2.
HCF(202, 8594, 6674) = 2
HCF of 202, 8594, 6674 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 202, 8594, 6674 is 2.
Highest Common Factor of 202,8594,6674 is 2
Step 1: Since 8594 > 202, we apply the division lemma to 8594 and 202, to get
8594 = 202 x 42 + 110
Step 2: Since the reminder 202 ≠ 0, we apply division lemma to 110 and 202, to get
202 = 110 x 1 + 92
Step 3: We consider the new divisor 110 and the new remainder 92, and apply the division lemma to get
110 = 92 x 1 + 18
We consider the new divisor 92 and the new remainder 18,and apply the division lemma to get
92 = 18 x 5 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 202 and 8594 is 2
Notice that 2 = HCF(18,2) = HCF(92,18) = HCF(110,92) = HCF(202,110) = HCF(8594,202) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6674 > 2, we apply the division lemma to 6674 and 2, to get
6674 = 2 x 3337 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 6674 is 2
Notice that 2 = HCF(6674,2) .
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Frequently Asked Questions on HCF of 202, 8594, 6674 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 202, 8594, 6674?
Answer: HCF of 202, 8594, 6674 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 202, 8594, 6674 using Euclid's Algorithm?
Answer: For arbitrary numbers 202, 8594, 6674 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.