Highest Common Factor of 7279, 6222 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 7279, 6222 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7279, 6222 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 7279, 6222 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 7279, 6222 is 1.
HCF(7279, 6222) = 1
HCF of 7279, 6222 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7279, 6222 is 1.
Highest Common Factor of 7279,6222 is 1
Step 1: Since 7279 > 6222, we apply the division lemma to 7279 and 6222, to get
7279 = 6222 x 1 + 1057
Step 2: Since the reminder 6222 ≠ 0, we apply division lemma to 1057 and 6222, to get
6222 = 1057 x 5 + 937
Step 3: We consider the new divisor 1057 and the new remainder 937, and apply the division lemma to get
1057 = 937 x 1 + 120
We consider the new divisor 937 and the new remainder 120,and apply the division lemma to get
937 = 120 x 7 + 97
We consider the new divisor 120 and the new remainder 97,and apply the division lemma to get
120 = 97 x 1 + 23
We consider the new divisor 97 and the new remainder 23,and apply the division lemma to get
97 = 23 x 4 + 5
We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get
23 = 5 x 4 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7279 and 6222 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(97,23) = HCF(120,97) = HCF(937,120) = HCF(1057,937) = HCF(6222,1057) = HCF(7279,6222) .
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Frequently Asked Questions on HCF of 7279, 6222 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 7279, 6222?
Answer: HCF of 7279, 6222 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7279, 6222 using Euclid's Algorithm?
Answer: For arbitrary numbers 7279, 6222 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
