Highest Common Factor of 1928, 6504 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 1928, 6504 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 1928, 6504 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 1928, 6504 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 1928, 6504 is 8.
HCF(1928, 6504) = 8
HCF of 1928, 6504 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1928, 6504 is 8.
Highest Common Factor of 1928,6504 is 8
Step 1: Since 6504 > 1928, we apply the division lemma to 6504 and 1928, to get
6504 = 1928 x 3 + 720
Step 2: Since the reminder 1928 ≠ 0, we apply division lemma to 720 and 1928, to get
1928 = 720 x 2 + 488
Step 3: We consider the new divisor 720 and the new remainder 488, and apply the division lemma to get
720 = 488 x 1 + 232
We consider the new divisor 488 and the new remainder 232,and apply the division lemma to get
488 = 232 x 2 + 24
We consider the new divisor 232 and the new remainder 24,and apply the division lemma to get
232 = 24 x 9 + 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 1928 and 6504 is 8
Notice that 8 = HCF(16,8) = HCF(24,16) = HCF(232,24) = HCF(488,232) = HCF(720,488) = HCF(1928,720) = HCF(6504,1928) .
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Frequently Asked Questions on HCF of 1928, 6504 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 1928, 6504?
Answer: HCF of 1928, 6504 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1928, 6504 using Euclid's Algorithm?
Answer: For arbitrary numbers 1928, 6504 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.