Highest Common Factor of 3578, 5456 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 3578, 5456 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3578, 5456 is 2 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 3578, 5456 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 3578, 5456 is 2.
HCF(3578, 5456) = 2
HCF of 3578, 5456 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3578, 5456 is 2.
Highest Common Factor of 3578,5456 is 2
Step 1: Since 5456 > 3578, we apply the division lemma to 5456 and 3578, to get
5456 = 3578 x 1 + 1878
Step 2: Since the reminder 3578 ≠ 0, we apply division lemma to 1878 and 3578, to get
3578 = 1878 x 1 + 1700
Step 3: We consider the new divisor 1878 and the new remainder 1700, and apply the division lemma to get
1878 = 1700 x 1 + 178
We consider the new divisor 1700 and the new remainder 178,and apply the division lemma to get
1700 = 178 x 9 + 98
We consider the new divisor 178 and the new remainder 98,and apply the division lemma to get
178 = 98 x 1 + 80
We consider the new divisor 98 and the new remainder 80,and apply the division lemma to get
98 = 80 x 1 + 18
We consider the new divisor 80 and the new remainder 18,and apply the division lemma to get
80 = 18 x 4 + 8
We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get
18 = 8 x 2 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3578 and 5456 is 2
Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(80,18) = HCF(98,80) = HCF(178,98) = HCF(1700,178) = HCF(1878,1700) = HCF(3578,1878) = HCF(5456,3578) .
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Frequently Asked Questions on HCF of 3578, 5456 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 3578, 5456?
Answer: HCF of 3578, 5456 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3578, 5456 using Euclid's Algorithm?
Answer: For arbitrary numbers 3578, 5456 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.