Highest Common Factor of 7222, 3159, 84371 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 7222, 3159, 84371 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7222, 3159, 84371 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 7222, 3159, 84371 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 7222, 3159, 84371 is 1.
HCF(7222, 3159, 84371) = 1
HCF of 7222, 3159, 84371 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7222, 3159, 84371 is 1.
Highest Common Factor of 7222,3159,84371 is 1
Step 1: Since 7222 > 3159, we apply the division lemma to 7222 and 3159, to get
7222 = 3159 x 2 + 904
Step 2: Since the reminder 3159 ≠ 0, we apply division lemma to 904 and 3159, to get
3159 = 904 x 3 + 447
Step 3: We consider the new divisor 904 and the new remainder 447, and apply the division lemma to get
904 = 447 x 2 + 10
We consider the new divisor 447 and the new remainder 10,and apply the division lemma to get
447 = 10 x 44 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7222 and 3159 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(447,10) = HCF(904,447) = HCF(3159,904) = HCF(7222,3159) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 84371 > 1, we apply the division lemma to 84371 and 1, to get
84371 = 1 x 84371 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 84371 is 1
Notice that 1 = HCF(84371,1) .
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Frequently Asked Questions on HCF of 7222, 3159, 84371 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 7222, 3159, 84371?
Answer: HCF of 7222, 3159, 84371 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7222, 3159, 84371 using Euclid's Algorithm?
Answer: For arbitrary numbers 7222, 3159, 84371 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.