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 757, 5036, 3527 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 757, 5036, 3527 is 1 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 757, 5036, 3527 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 757, 5036, 3527 is 1.
HCF(757, 5036, 3527) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 757, 5036, 3527 is 1.
Step 1: Since 5036 > 757, we apply the division lemma to 5036 and 757, to get
5036 = 757 x 6 + 494
Step 2: Since the reminder 757 ≠ 0, we apply division lemma to 494 and 757, to get
757 = 494 x 1 + 263
Step 3: We consider the new divisor 494 and the new remainder 263, and apply the division lemma to get
494 = 263 x 1 + 231
We consider the new divisor 263 and the new remainder 231,and apply the division lemma to get
263 = 231 x 1 + 32
We consider the new divisor 231 and the new remainder 32,and apply the division lemma to get
231 = 32 x 7 + 7
We consider the new divisor 32 and the new remainder 7,and apply the division lemma to get
32 = 7 x 4 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 757 and 5036 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(32,7) = HCF(231,32) = HCF(263,231) = HCF(494,263) = HCF(757,494) = HCF(5036,757) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3527 > 1, we apply the division lemma to 3527 and 1, to get
3527 = 1 x 3527 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3527 is 1
Notice that 1 = HCF(3527,1) .
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 757, 5036, 3527?
Answer: HCF of 757, 5036, 3527 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 757, 5036, 3527 using Euclid's Algorithm?
Answer: For arbitrary numbers 757, 5036, 3527 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.