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 5562, 5304 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 5562, 5304 is 6 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 5562, 5304 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 5562, 5304 is 6.
HCF(5562, 5304) = 6
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5562, 5304 is 6.
Step 1: Since 5562 > 5304, we apply the division lemma to 5562 and 5304, to get
5562 = 5304 x 1 + 258
Step 2: Since the reminder 5304 ≠ 0, we apply division lemma to 258 and 5304, to get
5304 = 258 x 20 + 144
Step 3: We consider the new divisor 258 and the new remainder 144, and apply the division lemma to get
258 = 144 x 1 + 114
We consider the new divisor 144 and the new remainder 114,and apply the division lemma to get
144 = 114 x 1 + 30
We consider the new divisor 114 and the new remainder 30,and apply the division lemma to get
114 = 30 x 3 + 24
We consider the new divisor 30 and the new remainder 24,and apply the division lemma to get
30 = 24 x 1 + 6
We consider the new divisor 24 and the new remainder 6,and apply the division lemma to get
24 = 6 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 5562 and 5304 is 6
Notice that 6 = HCF(24,6) = HCF(30,24) = HCF(114,30) = HCF(144,114) = HCF(258,144) = HCF(5304,258) = HCF(5562,5304) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 5562, 5304?
Answer: HCF of 5562, 5304 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5562, 5304 using Euclid's Algorithm?
Answer: For arbitrary numbers 5562, 5304 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.