Highest Common Factor of 8812, 7276 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 8812, 7276 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 8812, 7276 is 4 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 8812, 7276 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 8812, 7276 is 4.
HCF(8812, 7276) = 4
HCF of 8812, 7276 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8812, 7276 is 4.
Highest Common Factor of 8812,7276 is 4
Step 1: Since 8812 > 7276, we apply the division lemma to 8812 and 7276, to get
8812 = 7276 x 1 + 1536
Step 2: Since the reminder 7276 ≠ 0, we apply division lemma to 1536 and 7276, to get
7276 = 1536 x 4 + 1132
Step 3: We consider the new divisor 1536 and the new remainder 1132, and apply the division lemma to get
1536 = 1132 x 1 + 404
We consider the new divisor 1132 and the new remainder 404,and apply the division lemma to get
1132 = 404 x 2 + 324
We consider the new divisor 404 and the new remainder 324,and apply the division lemma to get
404 = 324 x 1 + 80
We consider the new divisor 324 and the new remainder 80,and apply the division lemma to get
324 = 80 x 4 + 4
We consider the new divisor 80 and the new remainder 4,and apply the division lemma to get
80 = 4 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 8812 and 7276 is 4
Notice that 4 = HCF(80,4) = HCF(324,80) = HCF(404,324) = HCF(1132,404) = HCF(1536,1132) = HCF(7276,1536) = HCF(8812,7276) .
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Frequently Asked Questions on HCF of 8812, 7276 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 8812, 7276?
Answer: HCF of 8812, 7276 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8812, 7276 using Euclid's Algorithm?
Answer: For arbitrary numbers 8812, 7276 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.