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 9454, 5522 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9454, 5522 is 2 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 9454, 5522 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 9454, 5522 is 2.
HCF(9454, 5522) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9454, 5522 is 2.
Step 1: Since 9454 > 5522, we apply the division lemma to 9454 and 5522, to get
9454 = 5522 x 1 + 3932
Step 2: Since the reminder 5522 ≠ 0, we apply division lemma to 3932 and 5522, to get
5522 = 3932 x 1 + 1590
Step 3: We consider the new divisor 3932 and the new remainder 1590, and apply the division lemma to get
3932 = 1590 x 2 + 752
We consider the new divisor 1590 and the new remainder 752,and apply the division lemma to get
1590 = 752 x 2 + 86
We consider the new divisor 752 and the new remainder 86,and apply the division lemma to get
752 = 86 x 8 + 64
We consider the new divisor 86 and the new remainder 64,and apply the division lemma to get
86 = 64 x 1 + 22
We consider the new divisor 64 and the new remainder 22,and apply the division lemma to get
64 = 22 x 2 + 20
We consider the new divisor 22 and the new remainder 20,and apply the division lemma to get
22 = 20 x 1 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9454 and 5522 is 2
Notice that 2 = HCF(20,2) = HCF(22,20) = HCF(64,22) = HCF(86,64) = HCF(752,86) = HCF(1590,752) = HCF(3932,1590) = HCF(5522,3932) = HCF(9454,5522) .
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 9454, 5522?
Answer: HCF of 9454, 5522 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9454, 5522 using Euclid's Algorithm?
Answer: For arbitrary numbers 9454, 5522 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.