Highest Common Factor of 356, 560 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 356, 560 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 356, 560 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 356, 560 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 356, 560 is 4.
HCF(356, 560) = 4
HCF of 356, 560 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 356, 560 is 4.
Highest Common Factor of 356,560 is 4
Step 1: Since 560 > 356, we apply the division lemma to 560 and 356, to get
560 = 356 x 1 + 204
Step 2: Since the reminder 356 ≠ 0, we apply division lemma to 204 and 356, to get
356 = 204 x 1 + 152
Step 3: We consider the new divisor 204 and the new remainder 152, and apply the division lemma to get
204 = 152 x 1 + 52
We consider the new divisor 152 and the new remainder 52,and apply the division lemma to get
152 = 52 x 2 + 48
We consider the new divisor 52 and the new remainder 48,and apply the division lemma to get
52 = 48 x 1 + 4
We consider the new divisor 48 and the new remainder 4,and apply the division lemma to get
48 = 4 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 356 and 560 is 4
Notice that 4 = HCF(48,4) = HCF(52,48) = HCF(152,52) = HCF(204,152) = HCF(356,204) = HCF(560,356) .
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Frequently Asked Questions on HCF of 356, 560 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 356, 560?
Answer: HCF of 356, 560 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 356, 560 using Euclid's Algorithm?
Answer: For arbitrary numbers 356, 560 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.