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 3036, 6610 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3036, 6610 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 3036, 6610 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 3036, 6610 is 2.
HCF(3036, 6610) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3036, 6610 is 2.
Step 1: Since 6610 > 3036, we apply the division lemma to 6610 and 3036, to get
6610 = 3036 x 2 + 538
Step 2: Since the reminder 3036 ≠ 0, we apply division lemma to 538 and 3036, to get
3036 = 538 x 5 + 346
Step 3: We consider the new divisor 538 and the new remainder 346, and apply the division lemma to get
538 = 346 x 1 + 192
We consider the new divisor 346 and the new remainder 192,and apply the division lemma to get
346 = 192 x 1 + 154
We consider the new divisor 192 and the new remainder 154,and apply the division lemma to get
192 = 154 x 1 + 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 3036 and 6610 is 2
Notice that 2 = HCF(38,2) = HCF(154,38) = HCF(192,154) = HCF(346,192) = HCF(538,346) = HCF(3036,538) = HCF(6610,3036) .
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 3036, 6610?
Answer: HCF of 3036, 6610 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3036, 6610 using Euclid's Algorithm?
Answer: For arbitrary numbers 3036, 6610 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.