Highest Common Factor of 8884, 7578 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 8884, 7578 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8884, 7578 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 8884, 7578 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 8884, 7578 is 2.
HCF(8884, 7578) = 2
HCF of 8884, 7578 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8884, 7578 is 2.
Highest Common Factor of 8884,7578 is 2
Step 1: Since 8884 > 7578, we apply the division lemma to 8884 and 7578, to get
8884 = 7578 x 1 + 1306
Step 2: Since the reminder 7578 ≠ 0, we apply division lemma to 1306 and 7578, to get
7578 = 1306 x 5 + 1048
Step 3: We consider the new divisor 1306 and the new remainder 1048, and apply the division lemma to get
1306 = 1048 x 1 + 258
We consider the new divisor 1048 and the new remainder 258,and apply the division lemma to get
1048 = 258 x 4 + 16
We consider the new divisor 258 and the new remainder 16,and apply the division lemma to get
258 = 16 x 16 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8884 and 7578 is 2
Notice that 2 = HCF(16,2) = HCF(258,16) = HCF(1048,258) = HCF(1306,1048) = HCF(7578,1306) = HCF(8884,7578) .
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Frequently Asked Questions on HCF of 8884, 7578 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 8884, 7578?
Answer: HCF of 8884, 7578 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8884, 7578 using Euclid's Algorithm?
Answer: For arbitrary numbers 8884, 7578 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.