Highest Common Factor of 6658, 2694 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 6658, 2694 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6658, 2694 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 6658, 2694 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 6658, 2694 is 2.
HCF(6658, 2694) = 2
HCF of 6658, 2694 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6658, 2694 is 2.
Highest Common Factor of 6658,2694 is 2
Step 1: Since 6658 > 2694, we apply the division lemma to 6658 and 2694, to get
6658 = 2694 x 2 + 1270
Step 2: Since the reminder 2694 ≠ 0, we apply division lemma to 1270 and 2694, to get
2694 = 1270 x 2 + 154
Step 3: We consider the new divisor 1270 and the new remainder 154, and apply the division lemma to get
1270 = 154 x 8 + 38
We consider the new divisor 154 and the new remainder 38,and apply the division lemma to get
154 = 38 x 4 + 2
We consider the new divisor 38 and the new remainder 2,and apply the division lemma to get
38 = 2 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6658 and 2694 is 2
Notice that 2 = HCF(38,2) = HCF(154,38) = HCF(1270,154) = HCF(2694,1270) = HCF(6658,2694) .
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Frequently Asked Questions on HCF of 6658, 2694 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 6658, 2694?
Answer: HCF of 6658, 2694 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6658, 2694 using Euclid's Algorithm?
Answer: For arbitrary numbers 6658, 2694 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
