Highest Common Factor of 5669, 3578 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 5669, 3578 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5669, 3578 is 1 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 5669, 3578 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 5669, 3578 is 1.
HCF(5669, 3578) = 1
HCF of 5669, 3578 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5669, 3578 is 1.
Highest Common Factor of 5669,3578 is 1
Step 1: Since 5669 > 3578, we apply the division lemma to 5669 and 3578, to get
5669 = 3578 x 1 + 2091
Step 2: Since the reminder 3578 ≠ 0, we apply division lemma to 2091 and 3578, to get
3578 = 2091 x 1 + 1487
Step 3: We consider the new divisor 2091 and the new remainder 1487, and apply the division lemma to get
2091 = 1487 x 1 + 604
We consider the new divisor 1487 and the new remainder 604,and apply the division lemma to get
1487 = 604 x 2 + 279
We consider the new divisor 604 and the new remainder 279,and apply the division lemma to get
604 = 279 x 2 + 46
We consider the new divisor 279 and the new remainder 46,and apply the division lemma to get
279 = 46 x 6 + 3
We consider the new divisor 46 and the new remainder 3,and apply the division lemma to get
46 = 3 x 15 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5669 and 3578 is 1
Notice that 1 = HCF(3,1) = HCF(46,3) = HCF(279,46) = HCF(604,279) = HCF(1487,604) = HCF(2091,1487) = HCF(3578,2091) = HCF(5669,3578) .
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Frequently Asked Questions on HCF of 5669, 3578 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 5669, 3578?
Answer: HCF of 5669, 3578 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5669, 3578 using Euclid's Algorithm?
Answer: For arbitrary numbers 5669, 3578 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.