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 4825, 8922 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4825, 8922 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 4825, 8922 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 4825, 8922 is 1.
HCF(4825, 8922) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4825, 8922 is 1.
Step 1: Since 8922 > 4825, we apply the division lemma to 8922 and 4825, to get
8922 = 4825 x 1 + 4097
Step 2: Since the reminder 4825 ≠ 0, we apply division lemma to 4097 and 4825, to get
4825 = 4097 x 1 + 728
Step 3: We consider the new divisor 4097 and the new remainder 728, and apply the division lemma to get
4097 = 728 x 5 + 457
We consider the new divisor 728 and the new remainder 457,and apply the division lemma to get
728 = 457 x 1 + 271
We consider the new divisor 457 and the new remainder 271,and apply the division lemma to get
457 = 271 x 1 + 186
We consider the new divisor 271 and the new remainder 186,and apply the division lemma to get
271 = 186 x 1 + 85
We consider the new divisor 186 and the new remainder 85,and apply the division lemma to get
186 = 85 x 2 + 16
We consider the new divisor 85 and the new remainder 16,and apply the division lemma to get
85 = 16 x 5 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4825 and 8922 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(85,16) = HCF(186,85) = HCF(271,186) = HCF(457,271) = HCF(728,457) = HCF(4097,728) = HCF(4825,4097) = HCF(8922,4825) .
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 4825, 8922?
Answer: HCF of 4825, 8922 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4825, 8922 using Euclid's Algorithm?
Answer: For arbitrary numbers 4825, 8922 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.