Highest Common Factor of 912, 357, 445, 898 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 912, 357, 445, 898 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 912, 357, 445, 898 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 912, 357, 445, 898 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 912, 357, 445, 898 is 1.
HCF(912, 357, 445, 898) = 1
HCF of 912, 357, 445, 898 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 912, 357, 445, 898 is 1.
Highest Common Factor of 912,357,445,898 is 1
Step 1: Since 912 > 357, we apply the division lemma to 912 and 357, to get
912 = 357 x 2 + 198
Step 2: Since the reminder 357 ≠ 0, we apply division lemma to 198 and 357, to get
357 = 198 x 1 + 159
Step 3: We consider the new divisor 198 and the new remainder 159, and apply the division lemma to get
198 = 159 x 1 + 39
We consider the new divisor 159 and the new remainder 39,and apply the division lemma to get
159 = 39 x 4 + 3
We consider the new divisor 39 and the new remainder 3,and apply the division lemma to get
39 = 3 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 912 and 357 is 3
Notice that 3 = HCF(39,3) = HCF(159,39) = HCF(198,159) = HCF(357,198) = HCF(912,357) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 445 > 3, we apply the division lemma to 445 and 3, to get
445 = 3 x 148 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 445 is 1
Notice that 1 = HCF(3,1) = HCF(445,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 898 > 1, we apply the division lemma to 898 and 1, to get
898 = 1 x 898 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 898 is 1
Notice that 1 = HCF(898,1) .
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Frequently Asked Questions on HCF of 912, 357, 445, 898 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 912, 357, 445, 898?
Answer: HCF of 912, 357, 445, 898 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 912, 357, 445, 898 using Euclid's Algorithm?
Answer: For arbitrary numbers 912, 357, 445, 898 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.