Highest Common Factor of 7326, 8848 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 7326, 8848 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7326, 8848 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 7326, 8848 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 7326, 8848 is 2.
HCF(7326, 8848) = 2
HCF of 7326, 8848 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7326, 8848 is 2.
Highest Common Factor of 7326,8848 is 2
Step 1: Since 8848 > 7326, we apply the division lemma to 8848 and 7326, to get
8848 = 7326 x 1 + 1522
Step 2: Since the reminder 7326 ≠ 0, we apply division lemma to 1522 and 7326, to get
7326 = 1522 x 4 + 1238
Step 3: We consider the new divisor 1522 and the new remainder 1238, and apply the division lemma to get
1522 = 1238 x 1 + 284
We consider the new divisor 1238 and the new remainder 284,and apply the division lemma to get
1238 = 284 x 4 + 102
We consider the new divisor 284 and the new remainder 102,and apply the division lemma to get
284 = 102 x 2 + 80
We consider the new divisor 102 and the new remainder 80,and apply the division lemma to get
102 = 80 x 1 + 22
We consider the new divisor 80 and the new remainder 22,and apply the division lemma to get
80 = 22 x 3 + 14
We consider the new divisor 22 and the new remainder 14,and apply the division lemma to get
22 = 14 x 1 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7326 and 8848 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(22,14) = HCF(80,22) = HCF(102,80) = HCF(284,102) = HCF(1238,284) = HCF(1522,1238) = HCF(7326,1522) = HCF(8848,7326) .
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Frequently Asked Questions on HCF of 7326, 8848 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 7326, 8848?
Answer: HCF of 7326, 8848 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7326, 8848 using Euclid's Algorithm?
Answer: For arbitrary numbers 7326, 8848 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.