Highest Common Factor of 976, 145, 622, 175 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 976, 145, 622, 175 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 976, 145, 622, 175 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 976, 145, 622, 175 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 976, 145, 622, 175 is 1.
HCF(976, 145, 622, 175) = 1
HCF of 976, 145, 622, 175 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 976, 145, 622, 175 is 1.
Highest Common Factor of 976,145,622,175 is 1
Step 1: Since 976 > 145, we apply the division lemma to 976 and 145, to get
976 = 145 x 6 + 106
Step 2: Since the reminder 145 ≠ 0, we apply division lemma to 106 and 145, to get
145 = 106 x 1 + 39
Step 3: We consider the new divisor 106 and the new remainder 39, and apply the division lemma to get
106 = 39 x 2 + 28
We consider the new divisor 39 and the new remainder 28,and apply the division lemma to get
39 = 28 x 1 + 11
We consider the new divisor 28 and the new remainder 11,and apply the division lemma to get
28 = 11 x 2 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma 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 976 and 145 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(28,11) = HCF(39,28) = HCF(106,39) = HCF(145,106) = HCF(976,145) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 622 > 1, we apply the division lemma to 622 and 1, to get
622 = 1 x 622 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 622 is 1
Notice that 1 = HCF(622,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 175 > 1, we apply the division lemma to 175 and 1, to get
175 = 1 x 175 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 175 is 1
Notice that 1 = HCF(175,1) .
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Frequently Asked Questions on HCF of 976, 145, 622, 175 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 976, 145, 622, 175?
Answer: HCF of 976, 145, 622, 175 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 976, 145, 622, 175 using Euclid's Algorithm?
Answer: For arbitrary numbers 976, 145, 622, 175 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.