Highest Common Factor of 604, 981, 250 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 604, 981, 250 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 604, 981, 250 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 604, 981, 250 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 604, 981, 250 is 1.
HCF(604, 981, 250) = 1
HCF of 604, 981, 250 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 604, 981, 250 is 1.
Highest Common Factor of 604,981,250 is 1
Step 1: Since 981 > 604, we apply the division lemma to 981 and 604, to get
981 = 604 x 1 + 377
Step 2: Since the reminder 604 ≠ 0, we apply division lemma to 377 and 604, to get
604 = 377 x 1 + 227
Step 3: We consider the new divisor 377 and the new remainder 227, and apply the division lemma to get
377 = 227 x 1 + 150
We consider the new divisor 227 and the new remainder 150,and apply the division lemma to get
227 = 150 x 1 + 77
We consider the new divisor 150 and the new remainder 77,and apply the division lemma to get
150 = 77 x 1 + 73
We consider the new divisor 77 and the new remainder 73,and apply the division lemma to get
77 = 73 x 1 + 4
We consider the new divisor 73 and the new remainder 4,and apply the division lemma to get
73 = 4 x 18 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 604 and 981 is 1
Notice that 1 = HCF(4,1) = HCF(73,4) = HCF(77,73) = HCF(150,77) = HCF(227,150) = HCF(377,227) = HCF(604,377) = HCF(981,604) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 250 > 1, we apply the division lemma to 250 and 1, to get
250 = 1 x 250 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 250 is 1
Notice that 1 = HCF(250,1) .
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Frequently Asked Questions on HCF of 604, 981, 250 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 604, 981, 250?
Answer: HCF of 604, 981, 250 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 604, 981, 250 using Euclid's Algorithm?
Answer: For arbitrary numbers 604, 981, 250 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
