Highest Common Factor of 5349, 1577 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 5349, 1577 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5349, 1577 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 5349, 1577 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 5349, 1577 is 1.
HCF(5349, 1577) = 1
HCF of 5349, 1577 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5349, 1577 is 1.
Highest Common Factor of 5349,1577 is 1
Step 1: Since 5349 > 1577, we apply the division lemma to 5349 and 1577, to get
5349 = 1577 x 3 + 618
Step 2: Since the reminder 1577 ≠ 0, we apply division lemma to 618 and 1577, to get
1577 = 618 x 2 + 341
Step 3: We consider the new divisor 618 and the new remainder 341, and apply the division lemma to get
618 = 341 x 1 + 277
We consider the new divisor 341 and the new remainder 277,and apply the division lemma to get
341 = 277 x 1 + 64
We consider the new divisor 277 and the new remainder 64,and apply the division lemma to get
277 = 64 x 4 + 21
We consider the new divisor 64 and the new remainder 21,and apply the division lemma to get
64 = 21 x 3 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5349 and 1577 is 1
Notice that 1 = HCF(21,1) = HCF(64,21) = HCF(277,64) = HCF(341,277) = HCF(618,341) = HCF(1577,618) = HCF(5349,1577) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5349, 1577 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 5349, 1577?
Answer: HCF of 5349, 1577 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5349, 1577 using Euclid's Algorithm?
Answer: For arbitrary numbers 5349, 1577 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.