Highest Common Factor of 9082, 7224 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 9082, 7224 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9082, 7224 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 9082, 7224 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 9082, 7224 is 2.
HCF(9082, 7224) = 2
HCF of 9082, 7224 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9082, 7224 is 2.
Highest Common Factor of 9082,7224 is 2
Step 1: Since 9082 > 7224, we apply the division lemma to 9082 and 7224, to get
9082 = 7224 x 1 + 1858
Step 2: Since the reminder 7224 ≠ 0, we apply division lemma to 1858 and 7224, to get
7224 = 1858 x 3 + 1650
Step 3: We consider the new divisor 1858 and the new remainder 1650, and apply the division lemma to get
1858 = 1650 x 1 + 208
We consider the new divisor 1650 and the new remainder 208,and apply the division lemma to get
1650 = 208 x 7 + 194
We consider the new divisor 208 and the new remainder 194,and apply the division lemma to get
208 = 194 x 1 + 14
We consider the new divisor 194 and the new remainder 14,and apply the division lemma to get
194 = 14 x 13 + 12
We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get
14 = 12 x 1 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9082 and 7224 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(194,14) = HCF(208,194) = HCF(1650,208) = HCF(1858,1650) = HCF(7224,1858) = HCF(9082,7224) .
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Frequently Asked Questions on HCF of 9082, 7224 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 9082, 7224?
Answer: HCF of 9082, 7224 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9082, 7224 using Euclid's Algorithm?
Answer: For arbitrary numbers 9082, 7224 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.