Highest Common Factor of 5304, 4912 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 5304, 4912 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 5304, 4912 is 8 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 5304, 4912 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 5304, 4912 is 8.
HCF(5304, 4912) = 8
HCF of 5304, 4912 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5304, 4912 is 8.
Highest Common Factor of 5304,4912 is 8
Step 1: Since 5304 > 4912, we apply the division lemma to 5304 and 4912, to get
5304 = 4912 x 1 + 392
Step 2: Since the reminder 4912 ≠ 0, we apply division lemma to 392 and 4912, to get
4912 = 392 x 12 + 208
Step 3: We consider the new divisor 392 and the new remainder 208, and apply the division lemma to get
392 = 208 x 1 + 184
We consider the new divisor 208 and the new remainder 184,and apply the division lemma to get
208 = 184 x 1 + 24
We consider the new divisor 184 and the new remainder 24,and apply the division lemma to get
184 = 24 x 7 + 16
We consider the new divisor 24 and the new remainder 16,and apply the division lemma to get
24 = 16 x 1 + 8
We consider the new divisor 16 and the new remainder 8,and apply the division lemma to get
16 = 8 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 5304 and 4912 is 8
Notice that 8 = HCF(16,8) = HCF(24,16) = HCF(184,24) = HCF(208,184) = HCF(392,208) = HCF(4912,392) = HCF(5304,4912) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5304, 4912 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 5304, 4912?
Answer: HCF of 5304, 4912 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5304, 4912 using Euclid's Algorithm?
Answer: For arbitrary numbers 5304, 4912 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.