Highest Common Factor of 674, 353, 852, 820 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 674, 353, 852, 820 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 674, 353, 852, 820 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 674, 353, 852, 820 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 674, 353, 852, 820 is 1.
HCF(674, 353, 852, 820) = 1
HCF of 674, 353, 852, 820 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 674, 353, 852, 820 is 1.
Highest Common Factor of 674,353,852,820 is 1
Step 1: Since 674 > 353, we apply the division lemma to 674 and 353, to get
674 = 353 x 1 + 321
Step 2: Since the reminder 353 ≠ 0, we apply division lemma to 321 and 353, to get
353 = 321 x 1 + 32
Step 3: We consider the new divisor 321 and the new remainder 32, and apply the division lemma to get
321 = 32 x 10 + 1
We consider the new divisor 32 and the new remainder 1, and apply the division lemma to get
32 = 1 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 674 and 353 is 1
Notice that 1 = HCF(32,1) = HCF(321,32) = HCF(353,321) = HCF(674,353) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 852 > 1, we apply the division lemma to 852 and 1, to get
852 = 1 x 852 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 852 is 1
Notice that 1 = HCF(852,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 820 > 1, we apply the division lemma to 820 and 1, to get
820 = 1 x 820 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 820 is 1
Notice that 1 = HCF(820,1) .
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Frequently Asked Questions on HCF of 674, 353, 852, 820 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 674, 353, 852, 820?
Answer: HCF of 674, 353, 852, 820 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 674, 353, 852, 820 using Euclid's Algorithm?
Answer: For arbitrary numbers 674, 353, 852, 820 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.