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 2757, 3495 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2757, 3495 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 2757, 3495 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 2757, 3495 is 3.
HCF(2757, 3495) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2757, 3495 is 3.
Step 1: Since 3495 > 2757, we apply the division lemma to 3495 and 2757, to get
3495 = 2757 x 1 + 738
Step 2: Since the reminder 2757 ≠ 0, we apply division lemma to 738 and 2757, to get
2757 = 738 x 3 + 543
Step 3: We consider the new divisor 738 and the new remainder 543, and apply the division lemma to get
738 = 543 x 1 + 195
We consider the new divisor 543 and the new remainder 195,and apply the division lemma to get
543 = 195 x 2 + 153
We consider the new divisor 195 and the new remainder 153,and apply the division lemma to get
195 = 153 x 1 + 42
We consider the new divisor 153 and the new remainder 42,and apply the division lemma to get
153 = 42 x 3 + 27
We consider the new divisor 42 and the new remainder 27,and apply the division lemma to get
42 = 27 x 1 + 15
We consider the new divisor 27 and the new remainder 15,and apply the division lemma to get
27 = 15 x 1 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2757 and 3495 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(27,15) = HCF(42,27) = HCF(153,42) = HCF(195,153) = HCF(543,195) = HCF(738,543) = HCF(2757,738) = HCF(3495,2757) .
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 2757, 3495?
Answer: HCF of 2757, 3495 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2757, 3495 using Euclid's Algorithm?
Answer: For arbitrary numbers 2757, 3495 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.