Highest Common Factor of 9921, 4067, 94223 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 9921, 4067, 94223 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9921, 4067, 94223 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 9921, 4067, 94223 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 9921, 4067, 94223 is 1.
HCF(9921, 4067, 94223) = 1
HCF of 9921, 4067, 94223 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9921, 4067, 94223 is 1.
Highest Common Factor of 9921,4067,94223 is 1
Step 1: Since 9921 > 4067, we apply the division lemma to 9921 and 4067, to get
9921 = 4067 x 2 + 1787
Step 2: Since the reminder 4067 ≠ 0, we apply division lemma to 1787 and 4067, to get
4067 = 1787 x 2 + 493
Step 3: We consider the new divisor 1787 and the new remainder 493, and apply the division lemma to get
1787 = 493 x 3 + 308
We consider the new divisor 493 and the new remainder 308,and apply the division lemma to get
493 = 308 x 1 + 185
We consider the new divisor 308 and the new remainder 185,and apply the division lemma to get
308 = 185 x 1 + 123
We consider the new divisor 185 and the new remainder 123,and apply the division lemma to get
185 = 123 x 1 + 62
We consider the new divisor 123 and the new remainder 62,and apply the division lemma to get
123 = 62 x 1 + 61
We consider the new divisor 62 and the new remainder 61,and apply the division lemma to get
62 = 61 x 1 + 1
We consider the new divisor 61 and the new remainder 1,and apply the division lemma to get
61 = 1 x 61 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9921 and 4067 is 1
Notice that 1 = HCF(61,1) = HCF(62,61) = HCF(123,62) = HCF(185,123) = HCF(308,185) = HCF(493,308) = HCF(1787,493) = HCF(4067,1787) = HCF(9921,4067) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 94223 > 1, we apply the division lemma to 94223 and 1, to get
94223 = 1 x 94223 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 94223 is 1
Notice that 1 = HCF(94223,1) .
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Frequently Asked Questions on HCF of 9921, 4067, 94223 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 9921, 4067, 94223?
Answer: HCF of 9921, 4067, 94223 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9921, 4067, 94223 using Euclid's Algorithm?
Answer: For arbitrary numbers 9921, 4067, 94223 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.