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 3537, 2955 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3537, 2955 is 3 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 3537, 2955 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 3537, 2955 is 3.
HCF(3537, 2955) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3537, 2955 is 3.
Step 1: Since 3537 > 2955, we apply the division lemma to 3537 and 2955, to get
3537 = 2955 x 1 + 582
Step 2: Since the reminder 2955 ≠ 0, we apply division lemma to 582 and 2955, to get
2955 = 582 x 5 + 45
Step 3: We consider the new divisor 582 and the new remainder 45, and apply the division lemma to get
582 = 45 x 12 + 42
We consider the new divisor 45 and the new remainder 42,and apply the division lemma to get
45 = 42 x 1 + 3
We consider the new divisor 42 and the new remainder 3,and apply the division lemma to get
42 = 3 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3537 and 2955 is 3
Notice that 3 = HCF(42,3) = HCF(45,42) = HCF(582,45) = HCF(2955,582) = HCF(3537,2955) .
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 3537, 2955?
Answer: HCF of 3537, 2955 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3537, 2955 using Euclid's Algorithm?
Answer: For arbitrary numbers 3537, 2955 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.