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 587, 908, 777 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 587, 908, 777 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 587, 908, 777 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 587, 908, 777 is 1.
HCF(587, 908, 777) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 587, 908, 777 is 1.
Step 1: Since 908 > 587, we apply the division lemma to 908 and 587, to get
908 = 587 x 1 + 321
Step 2: Since the reminder 587 ≠ 0, we apply division lemma to 321 and 587, to get
587 = 321 x 1 + 266
Step 3: We consider the new divisor 321 and the new remainder 266, and apply the division lemma to get
321 = 266 x 1 + 55
We consider the new divisor 266 and the new remainder 55,and apply the division lemma to get
266 = 55 x 4 + 46
We consider the new divisor 55 and the new remainder 46,and apply the division lemma to get
55 = 46 x 1 + 9
We consider the new divisor 46 and the new remainder 9,and apply the division lemma to get
46 = 9 x 5 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 587 and 908 is 1
Notice that 1 = HCF(9,1) = HCF(46,9) = HCF(55,46) = HCF(266,55) = HCF(321,266) = HCF(587,321) = HCF(908,587) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 777 > 1, we apply the division lemma to 777 and 1, to get
777 = 1 x 777 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 777 is 1
Notice that 1 = HCF(777,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 587, 908, 777?
Answer: HCF of 587, 908, 777 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 587, 908, 777 using Euclid's Algorithm?
Answer: For arbitrary numbers 587, 908, 777 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.