Highest Common Factor of 4648, 5376 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 4648, 5376 i.e. 56 the largest integer that leaves a remainder zero for all numbers.
HCF of 4648, 5376 is 56 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 4648, 5376 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 4648, 5376 is 56.
HCF(4648, 5376) = 56
HCF of 4648, 5376 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4648, 5376 is 56.
Highest Common Factor of 4648,5376 is 56
Step 1: Since 5376 > 4648, we apply the division lemma to 5376 and 4648, to get
5376 = 4648 x 1 + 728
Step 2: Since the reminder 4648 ≠ 0, we apply division lemma to 728 and 4648, to get
4648 = 728 x 6 + 280
Step 3: We consider the new divisor 728 and the new remainder 280, and apply the division lemma to get
728 = 280 x 2 + 168
We consider the new divisor 280 and the new remainder 168,and apply the division lemma to get
280 = 168 x 1 + 112
We consider the new divisor 168 and the new remainder 112,and apply the division lemma to get
168 = 112 x 1 + 56
We consider the new divisor 112 and the new remainder 56,and apply the division lemma to get
112 = 56 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 56, the HCF of 4648 and 5376 is 56
Notice that 56 = HCF(112,56) = HCF(168,112) = HCF(280,168) = HCF(728,280) = HCF(4648,728) = HCF(5376,4648) .
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Frequently Asked Questions on HCF of 4648, 5376 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 4648, 5376?
Answer: HCF of 4648, 5376 is 56 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4648, 5376 using Euclid's Algorithm?
Answer: For arbitrary numbers 4648, 5376 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.