Highest Common Factor of 1753, 7774 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 1753, 7774 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1753, 7774 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 1753, 7774 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 1753, 7774 is 1.
HCF(1753, 7774) = 1
HCF of 1753, 7774 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1753, 7774 is 1.
Highest Common Factor of 1753,7774 is 1
Step 1: Since 7774 > 1753, we apply the division lemma to 7774 and 1753, to get
7774 = 1753 x 4 + 762
Step 2: Since the reminder 1753 ≠ 0, we apply division lemma to 762 and 1753, to get
1753 = 762 x 2 + 229
Step 3: We consider the new divisor 762 and the new remainder 229, and apply the division lemma to get
762 = 229 x 3 + 75
We consider the new divisor 229 and the new remainder 75,and apply the division lemma to get
229 = 75 x 3 + 4
We consider the new divisor 75 and the new remainder 4,and apply the division lemma to get
75 = 4 x 18 + 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 1753 and 7774 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(75,4) = HCF(229,75) = HCF(762,229) = HCF(1753,762) = HCF(7774,1753) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1753, 7774 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 1753, 7774?
Answer: HCF of 1753, 7774 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1753, 7774 using Euclid's Algorithm?
Answer: For arbitrary numbers 1753, 7774 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.