Highest Common Factor of 3692, 5274 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 3692, 5274 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3692, 5274 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 3692, 5274 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 3692, 5274 is 2.
HCF(3692, 5274) = 2
HCF of 3692, 5274 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3692, 5274 is 2.
Highest Common Factor of 3692,5274 is 2
Step 1: Since 5274 > 3692, we apply the division lemma to 5274 and 3692, to get
5274 = 3692 x 1 + 1582
Step 2: Since the reminder 3692 ≠ 0, we apply division lemma to 1582 and 3692, to get
3692 = 1582 x 2 + 528
Step 3: We consider the new divisor 1582 and the new remainder 528, and apply the division lemma to get
1582 = 528 x 2 + 526
We consider the new divisor 528 and the new remainder 526,and apply the division lemma to get
528 = 526 x 1 + 2
We consider the new divisor 526 and the new remainder 2,and apply the division lemma to get
526 = 2 x 263 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3692 and 5274 is 2
Notice that 2 = HCF(526,2) = HCF(528,526) = HCF(1582,528) = HCF(3692,1582) = HCF(5274,3692) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3692, 5274 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 3692, 5274?
Answer: HCF of 3692, 5274 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3692, 5274 using Euclid's Algorithm?
Answer: For arbitrary numbers 3692, 5274 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.