Highest Common Factor of 355, 625, 446, 343 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 355, 625, 446, 343 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 355, 625, 446, 343 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 355, 625, 446, 343 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 355, 625, 446, 343 is 1.
HCF(355, 625, 446, 343) = 1
HCF of 355, 625, 446, 343 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 355, 625, 446, 343 is 1.
Highest Common Factor of 355,625,446,343 is 1
Step 1: Since 625 > 355, we apply the division lemma to 625 and 355, to get
625 = 355 x 1 + 270
Step 2: Since the reminder 355 ≠ 0, we apply division lemma to 270 and 355, to get
355 = 270 x 1 + 85
Step 3: We consider the new divisor 270 and the new remainder 85, and apply the division lemma to get
270 = 85 x 3 + 15
We consider the new divisor 85 and the new remainder 15,and apply the division lemma to get
85 = 15 x 5 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 355 and 625 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(85,15) = HCF(270,85) = HCF(355,270) = HCF(625,355) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 446 > 5, we apply the division lemma to 446 and 5, to get
446 = 5 x 89 + 1
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 446 is 1
Notice that 1 = HCF(5,1) = HCF(446,5) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 343 > 1, we apply the division lemma to 343 and 1, to get
343 = 1 x 343 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 343 is 1
Notice that 1 = HCF(343,1) .
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Frequently Asked Questions on HCF of 355, 625, 446, 343 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 355, 625, 446, 343?
Answer: HCF of 355, 625, 446, 343 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 355, 625, 446, 343 using Euclid's Algorithm?
Answer: For arbitrary numbers 355, 625, 446, 343 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.