Highest Common Factor of 7828, 2221 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 7828, 2221 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7828, 2221 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 7828, 2221 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 7828, 2221 is 1.
HCF(7828, 2221) = 1
HCF of 7828, 2221 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7828, 2221 is 1.
Highest Common Factor of 7828,2221 is 1
Step 1: Since 7828 > 2221, we apply the division lemma to 7828 and 2221, to get
7828 = 2221 x 3 + 1165
Step 2: Since the reminder 2221 ≠ 0, we apply division lemma to 1165 and 2221, to get
2221 = 1165 x 1 + 1056
Step 3: We consider the new divisor 1165 and the new remainder 1056, and apply the division lemma to get
1165 = 1056 x 1 + 109
We consider the new divisor 1056 and the new remainder 109,and apply the division lemma to get
1056 = 109 x 9 + 75
We consider the new divisor 109 and the new remainder 75,and apply the division lemma to get
109 = 75 x 1 + 34
We consider the new divisor 75 and the new remainder 34,and apply the division lemma to get
75 = 34 x 2 + 7
We consider the new divisor 34 and the new remainder 7,and apply the division lemma to get
34 = 7 x 4 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7828 and 2221 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(34,7) = HCF(75,34) = HCF(109,75) = HCF(1056,109) = HCF(1165,1056) = HCF(2221,1165) = HCF(7828,2221) .
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Frequently Asked Questions on HCF of 7828, 2221 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 7828, 2221?
Answer: HCF of 7828, 2221 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7828, 2221 using Euclid's Algorithm?
Answer: For arbitrary numbers 7828, 2221 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.