Highest Common Factor of 6560, 1928 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 6560, 1928 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 6560, 1928 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 6560, 1928 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 6560, 1928 is 8.
HCF(6560, 1928) = 8
HCF of 6560, 1928 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6560, 1928 is 8.
Highest Common Factor of 6560,1928 is 8
Step 1: Since 6560 > 1928, we apply the division lemma to 6560 and 1928, to get
6560 = 1928 x 3 + 776
Step 2: Since the reminder 1928 ≠ 0, we apply division lemma to 776 and 1928, to get
1928 = 776 x 2 + 376
Step 3: We consider the new divisor 776 and the new remainder 376, and apply the division lemma to get
776 = 376 x 2 + 24
We consider the new divisor 376 and the new remainder 24,and apply the division lemma to get
376 = 24 x 15 + 16
We consider the new divisor 24 and the new remainder 16,and apply the division lemma to get
24 = 16 x 1 + 8
We consider the new divisor 16 and the new remainder 8,and apply the division lemma to get
16 = 8 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 6560 and 1928 is 8
Notice that 8 = HCF(16,8) = HCF(24,16) = HCF(376,24) = HCF(776,376) = HCF(1928,776) = HCF(6560,1928) .
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Frequently Asked Questions on HCF of 6560, 1928 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 6560, 1928?
Answer: HCF of 6560, 1928 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6560, 1928 using Euclid's Algorithm?
Answer: For arbitrary numbers 6560, 1928 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.