Highest Common Factor of 5734, 9808 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 5734, 9808 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5734, 9808 is 2 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 5734, 9808 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 5734, 9808 is 2.
HCF(5734, 9808) = 2
HCF of 5734, 9808 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5734, 9808 is 2.
Highest Common Factor of 5734,9808 is 2
Step 1: Since 9808 > 5734, we apply the division lemma to 9808 and 5734, to get
9808 = 5734 x 1 + 4074
Step 2: Since the reminder 5734 ≠ 0, we apply division lemma to 4074 and 5734, to get
5734 = 4074 x 1 + 1660
Step 3: We consider the new divisor 4074 and the new remainder 1660, and apply the division lemma to get
4074 = 1660 x 2 + 754
We consider the new divisor 1660 and the new remainder 754,and apply the division lemma to get
1660 = 754 x 2 + 152
We consider the new divisor 754 and the new remainder 152,and apply the division lemma to get
754 = 152 x 4 + 146
We consider the new divisor 152 and the new remainder 146,and apply the division lemma to get
152 = 146 x 1 + 6
We consider the new divisor 146 and the new remainder 6,and apply the division lemma to get
146 = 6 x 24 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5734 and 9808 is 2
Notice that 2 = HCF(6,2) = HCF(146,6) = HCF(152,146) = HCF(754,152) = HCF(1660,754) = HCF(4074,1660) = HCF(5734,4074) = HCF(9808,5734) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5734, 9808 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 5734, 9808?
Answer: HCF of 5734, 9808 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5734, 9808 using Euclid's Algorithm?
Answer: For arbitrary numbers 5734, 9808 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.