Highest Common Factor of 6892, 6354 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 6892, 6354 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6892, 6354 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 6892, 6354 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 6892, 6354 is 2.
HCF(6892, 6354) = 2
HCF of 6892, 6354 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6892, 6354 is 2.
Highest Common Factor of 6892,6354 is 2
Step 1: Since 6892 > 6354, we apply the division lemma to 6892 and 6354, to get
6892 = 6354 x 1 + 538
Step 2: Since the reminder 6354 ≠ 0, we apply division lemma to 538 and 6354, to get
6354 = 538 x 11 + 436
Step 3: We consider the new divisor 538 and the new remainder 436, and apply the division lemma to get
538 = 436 x 1 + 102
We consider the new divisor 436 and the new remainder 102,and apply the division lemma to get
436 = 102 x 4 + 28
We consider the new divisor 102 and the new remainder 28,and apply the division lemma to get
102 = 28 x 3 + 18
We consider the new divisor 28 and the new remainder 18,and apply the division lemma to get
28 = 18 x 1 + 10
We consider the new divisor 18 and the new remainder 10,and apply the division lemma to get
18 = 10 x 1 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6892 and 6354 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(18,10) = HCF(28,18) = HCF(102,28) = HCF(436,102) = HCF(538,436) = HCF(6354,538) = HCF(6892,6354) .
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Frequently Asked Questions on HCF of 6892, 6354 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 6892, 6354?
Answer: HCF of 6892, 6354 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6892, 6354 using Euclid's Algorithm?
Answer: For arbitrary numbers 6892, 6354 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.