Highest Common Factor of 3222, 7550 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 3222, 7550 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3222, 7550 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 3222, 7550 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 3222, 7550 is 2.
HCF(3222, 7550) = 2
HCF of 3222, 7550 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3222, 7550 is 2.
Highest Common Factor of 3222,7550 is 2
Step 1: Since 7550 > 3222, we apply the division lemma to 7550 and 3222, to get
7550 = 3222 x 2 + 1106
Step 2: Since the reminder 3222 ≠ 0, we apply division lemma to 1106 and 3222, to get
3222 = 1106 x 2 + 1010
Step 3: We consider the new divisor 1106 and the new remainder 1010, and apply the division lemma to get
1106 = 1010 x 1 + 96
We consider the new divisor 1010 and the new remainder 96,and apply the division lemma to get
1010 = 96 x 10 + 50
We consider the new divisor 96 and the new remainder 50,and apply the division lemma to get
96 = 50 x 1 + 46
We consider the new divisor 50 and the new remainder 46,and apply the division lemma to get
50 = 46 x 1 + 4
We consider the new divisor 46 and the new remainder 4,and apply the division lemma to get
46 = 4 x 11 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3222 and 7550 is 2
Notice that 2 = HCF(4,2) = HCF(46,4) = HCF(50,46) = HCF(96,50) = HCF(1010,96) = HCF(1106,1010) = HCF(3222,1106) = HCF(7550,3222) .
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Frequently Asked Questions on HCF of 3222, 7550 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 3222, 7550?
Answer: HCF of 3222, 7550 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3222, 7550 using Euclid's Algorithm?
Answer: For arbitrary numbers 3222, 7550 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.