Highest Common Factor of 4340, 5608 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 4340, 5608 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 4340, 5608 is 4 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 4340, 5608 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 4340, 5608 is 4.
HCF(4340, 5608) = 4
HCF of 4340, 5608 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4340, 5608 is 4.
Highest Common Factor of 4340,5608 is 4
Step 1: Since 5608 > 4340, we apply the division lemma to 5608 and 4340, to get
5608 = 4340 x 1 + 1268
Step 2: Since the reminder 4340 ≠ 0, we apply division lemma to 1268 and 4340, to get
4340 = 1268 x 3 + 536
Step 3: We consider the new divisor 1268 and the new remainder 536, and apply the division lemma to get
1268 = 536 x 2 + 196
We consider the new divisor 536 and the new remainder 196,and apply the division lemma to get
536 = 196 x 2 + 144
We consider the new divisor 196 and the new remainder 144,and apply the division lemma to get
196 = 144 x 1 + 52
We consider the new divisor 144 and the new remainder 52,and apply the division lemma to get
144 = 52 x 2 + 40
We consider the new divisor 52 and the new remainder 40,and apply the division lemma to get
52 = 40 x 1 + 12
We consider the new divisor 40 and the new remainder 12,and apply the division lemma to get
40 = 12 x 3 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4340 and 5608 is 4
Notice that 4 = HCF(12,4) = HCF(40,12) = HCF(52,40) = HCF(144,52) = HCF(196,144) = HCF(536,196) = HCF(1268,536) = HCF(4340,1268) = HCF(5608,4340) .
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Frequently Asked Questions on HCF of 4340, 5608 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 4340, 5608?
Answer: HCF of 4340, 5608 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4340, 5608 using Euclid's Algorithm?
Answer: For arbitrary numbers 4340, 5608 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.