Highest Common Factor of 5763, 7100 using Euclid's algorithm
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 5763, 7100 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5763, 7100 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 5763, 7100 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 5763, 7100 is 1.
HCF(5763, 7100) = 1
HCF of 5763, 7100 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5763, 7100 is 1.
Highest Common Factor of 5763,7100 is 1
Step 1: Since 7100 > 5763, we apply the division lemma to 7100 and 5763, to get
7100 = 5763 x 1 + 1337
Step 2: Since the reminder 5763 ≠ 0, we apply division lemma to 1337 and 5763, to get
5763 = 1337 x 4 + 415
Step 3: We consider the new divisor 1337 and the new remainder 415, and apply the division lemma to get
1337 = 415 x 3 + 92
We consider the new divisor 415 and the new remainder 92,and apply the division lemma to get
415 = 92 x 4 + 47
We consider the new divisor 92 and the new remainder 47,and apply the division lemma to get
92 = 47 x 1 + 45
We consider the new divisor 47 and the new remainder 45,and apply the division lemma to get
47 = 45 x 1 + 2
We consider the new divisor 45 and the new remainder 2,and apply the division lemma to get
45 = 2 x 22 + 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 5763 and 7100 is 1
Notice that 1 = HCF(2,1) = HCF(45,2) = HCF(47,45) = HCF(92,47) = HCF(415,92) = HCF(1337,415) = HCF(5763,1337) = HCF(7100,5763) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5763, 7100 using Euclid's Algorithm
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 5763, 7100?
Answer: HCF of 5763, 7100 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5763, 7100 using Euclid's Algorithm?
Answer: For arbitrary numbers 5763, 7100 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.