Highest Common Factor of 944, 5096 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 944, 5096 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 944, 5096 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 944, 5096 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 944, 5096 is 8.
HCF(944, 5096) = 8
HCF of 944, 5096 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 944, 5096 is 8.
Highest Common Factor of 944,5096 is 8
Step 1: Since 5096 > 944, we apply the division lemma to 5096 and 944, to get
5096 = 944 x 5 + 376
Step 2: Since the reminder 944 ≠ 0, we apply division lemma to 376 and 944, to get
944 = 376 x 2 + 192
Step 3: We consider the new divisor 376 and the new remainder 192, and apply the division lemma to get
376 = 192 x 1 + 184
We consider the new divisor 192 and the new remainder 184,and apply the division lemma to get
192 = 184 x 1 + 8
We consider the new divisor 184 and the new remainder 8,and apply the division lemma to get
184 = 8 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 944 and 5096 is 8
Notice that 8 = HCF(184,8) = HCF(192,184) = HCF(376,192) = HCF(944,376) = HCF(5096,944) .
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Frequently Asked Questions on HCF of 944, 5096 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 944, 5096?
Answer: HCF of 944, 5096 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 944, 5096 using Euclid's Algorithm?
Answer: For arbitrary numbers 944, 5096 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.