Highest Common Factor of 8128, 7880 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 8128, 7880 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 8128, 7880 is 8 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 8128, 7880 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 8128, 7880 is 8.
HCF(8128, 7880) = 8
HCF of 8128, 7880 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8128, 7880 is 8.
Highest Common Factor of 8128,7880 is 8
Step 1: Since 8128 > 7880, we apply the division lemma to 8128 and 7880, to get
8128 = 7880 x 1 + 248
Step 2: Since the reminder 7880 ≠ 0, we apply division lemma to 248 and 7880, to get
7880 = 248 x 31 + 192
Step 3: We consider the new divisor 248 and the new remainder 192, and apply the division lemma to get
248 = 192 x 1 + 56
We consider the new divisor 192 and the new remainder 56,and apply the division lemma to get
192 = 56 x 3 + 24
We consider the new divisor 56 and the new remainder 24,and apply the division lemma to get
56 = 24 x 2 + 8
We consider the new divisor 24 and the new remainder 8,and apply the division lemma to get
24 = 8 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 8128 and 7880 is 8
Notice that 8 = HCF(24,8) = HCF(56,24) = HCF(192,56) = HCF(248,192) = HCF(7880,248) = HCF(8128,7880) .
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Frequently Asked Questions on HCF of 8128, 7880 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 8128, 7880?
Answer: HCF of 8128, 7880 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8128, 7880 using Euclid's Algorithm?
Answer: For arbitrary numbers 8128, 7880 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.