Highest Common Factor of 855, 9222 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 855, 9222 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 855, 9222 is 3 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 855, 9222 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 855, 9222 is 3.
HCF(855, 9222) = 3
HCF of 855, 9222 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 855, 9222 is 3.
Highest Common Factor of 855,9222 is 3
Step 1: Since 9222 > 855, we apply the division lemma to 9222 and 855, to get
9222 = 855 x 10 + 672
Step 2: Since the reminder 855 ≠ 0, we apply division lemma to 672 and 855, to get
855 = 672 x 1 + 183
Step 3: We consider the new divisor 672 and the new remainder 183, and apply the division lemma to get
672 = 183 x 3 + 123
We consider the new divisor 183 and the new remainder 123,and apply the division lemma to get
183 = 123 x 1 + 60
We consider the new divisor 123 and the new remainder 60,and apply the division lemma to get
123 = 60 x 2 + 3
We consider the new divisor 60 and the new remainder 3,and apply the division lemma to get
60 = 3 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 855 and 9222 is 3
Notice that 3 = HCF(60,3) = HCF(123,60) = HCF(183,123) = HCF(672,183) = HCF(855,672) = HCF(9222,855) .
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Frequently Asked Questions on HCF of 855, 9222 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 855, 9222?
Answer: HCF of 855, 9222 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 855, 9222 using Euclid's Algorithm?
Answer: For arbitrary numbers 855, 9222 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.