Highest Common Factor of 8427, 7788 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 8427, 7788 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8427, 7788 is 3 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 8427, 7788 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 8427, 7788 is 3.
HCF(8427, 7788) = 3
HCF of 8427, 7788 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8427, 7788 is 3.
Highest Common Factor of 8427,7788 is 3
Step 1: Since 8427 > 7788, we apply the division lemma to 8427 and 7788, to get
8427 = 7788 x 1 + 639
Step 2: Since the reminder 7788 ≠ 0, we apply division lemma to 639 and 7788, to get
7788 = 639 x 12 + 120
Step 3: We consider the new divisor 639 and the new remainder 120, and apply the division lemma to get
639 = 120 x 5 + 39
We consider the new divisor 120 and the new remainder 39,and apply the division lemma to get
120 = 39 x 3 + 3
We consider the new divisor 39 and the new remainder 3,and apply the division lemma to get
39 = 3 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8427 and 7788 is 3
Notice that 3 = HCF(39,3) = HCF(120,39) = HCF(639,120) = HCF(7788,639) = HCF(8427,7788) .
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Frequently Asked Questions on HCF of 8427, 7788 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 8427, 7788?
Answer: HCF of 8427, 7788 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8427, 7788 using Euclid's Algorithm?
Answer: For arbitrary numbers 8427, 7788 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.