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 4088, 6757 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4088, 6757 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 4088, 6757 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 4088, 6757 is 1.
HCF(4088, 6757) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4088, 6757 is 1.
Step 1: Since 6757 > 4088, we apply the division lemma to 6757 and 4088, to get
6757 = 4088 x 1 + 2669
Step 2: Since the reminder 4088 ≠ 0, we apply division lemma to 2669 and 4088, to get
4088 = 2669 x 1 + 1419
Step 3: We consider the new divisor 2669 and the new remainder 1419, and apply the division lemma to get
2669 = 1419 x 1 + 1250
We consider the new divisor 1419 and the new remainder 1250,and apply the division lemma to get
1419 = 1250 x 1 + 169
We consider the new divisor 1250 and the new remainder 169,and apply the division lemma to get
1250 = 169 x 7 + 67
We consider the new divisor 169 and the new remainder 67,and apply the division lemma to get
169 = 67 x 2 + 35
We consider the new divisor 67 and the new remainder 35,and apply the division lemma to get
67 = 35 x 1 + 32
We consider the new divisor 35 and the new remainder 32,and apply the division lemma to get
35 = 32 x 1 + 3
We consider the new divisor 32 and the new remainder 3,and apply the division lemma to get
32 = 3 x 10 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4088 and 6757 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(32,3) = HCF(35,32) = HCF(67,35) = HCF(169,67) = HCF(1250,169) = HCF(1419,1250) = HCF(2669,1419) = HCF(4088,2669) = HCF(6757,4088) .
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 4088, 6757?
Answer: HCF of 4088, 6757 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4088, 6757 using Euclid's Algorithm?
Answer: For arbitrary numbers 4088, 6757 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.