Highest Common Factor of 554, 895, 181, 10 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 554, 895, 181, 10 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 554, 895, 181, 10 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 554, 895, 181, 10 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 554, 895, 181, 10 is 1.
HCF(554, 895, 181, 10) = 1
HCF of 554, 895, 181, 10 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 554, 895, 181, 10 is 1.
Highest Common Factor of 554,895,181,10 is 1
Step 1: Since 895 > 554, we apply the division lemma to 895 and 554, to get
895 = 554 x 1 + 341
Step 2: Since the reminder 554 ≠ 0, we apply division lemma to 341 and 554, to get
554 = 341 x 1 + 213
Step 3: We consider the new divisor 341 and the new remainder 213, and apply the division lemma to get
341 = 213 x 1 + 128
We consider the new divisor 213 and the new remainder 128,and apply the division lemma to get
213 = 128 x 1 + 85
We consider the new divisor 128 and the new remainder 85,and apply the division lemma to get
128 = 85 x 1 + 43
We consider the new divisor 85 and the new remainder 43,and apply the division lemma to get
85 = 43 x 1 + 42
We consider the new divisor 43 and the new remainder 42,and apply the division lemma to get
43 = 42 x 1 + 1
We consider the new divisor 42 and the new remainder 1,and apply the division lemma to get
42 = 1 x 42 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 554 and 895 is 1
Notice that 1 = HCF(42,1) = HCF(43,42) = HCF(85,43) = HCF(128,85) = HCF(213,128) = HCF(341,213) = HCF(554,341) = HCF(895,554) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 181 > 1, we apply the division lemma to 181 and 1, to get
181 = 1 x 181 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 181 is 1
Notice that 1 = HCF(181,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 10 > 1, we apply the division lemma to 10 and 1, to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 10 is 1
Notice that 1 = HCF(10,1) .
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Frequently Asked Questions on HCF of 554, 895, 181, 10 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 554, 895, 181, 10?
Answer: HCF of 554, 895, 181, 10 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 554, 895, 181, 10 using Euclid's Algorithm?
Answer: For arbitrary numbers 554, 895, 181, 10 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.