Highest Common Factor of 5409, 4948 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 5409, 4948 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5409, 4948 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 5409, 4948 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 5409, 4948 is 1.
HCF(5409, 4948) = 1
HCF of 5409, 4948 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5409, 4948 is 1.
Highest Common Factor of 5409,4948 is 1
Step 1: Since 5409 > 4948, we apply the division lemma to 5409 and 4948, to get
5409 = 4948 x 1 + 461
Step 2: Since the reminder 4948 ≠ 0, we apply division lemma to 461 and 4948, to get
4948 = 461 x 10 + 338
Step 3: We consider the new divisor 461 and the new remainder 338, and apply the division lemma to get
461 = 338 x 1 + 123
We consider the new divisor 338 and the new remainder 123,and apply the division lemma to get
338 = 123 x 2 + 92
We consider the new divisor 123 and the new remainder 92,and apply the division lemma to get
123 = 92 x 1 + 31
We consider the new divisor 92 and the new remainder 31,and apply the division lemma to get
92 = 31 x 2 + 30
We consider the new divisor 31 and the new remainder 30,and apply the division lemma to get
31 = 30 x 1 + 1
We consider the new divisor 30 and the new remainder 1,and apply the division lemma to get
30 = 1 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5409 and 4948 is 1
Notice that 1 = HCF(30,1) = HCF(31,30) = HCF(92,31) = HCF(123,92) = HCF(338,123) = HCF(461,338) = HCF(4948,461) = HCF(5409,4948) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5409, 4948 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 5409, 4948?
Answer: HCF of 5409, 4948 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5409, 4948 using Euclid's Algorithm?
Answer: For arbitrary numbers 5409, 4948 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.