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 971, 624, 68, 858 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 971, 624, 68, 858 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 971, 624, 68, 858 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 971, 624, 68, 858 is 1.
HCF(971, 624, 68, 858) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 971, 624, 68, 858 is 1.
Step 1: Since 971 > 624, we apply the division lemma to 971 and 624, to get
971 = 624 x 1 + 347
Step 2: Since the reminder 624 ≠ 0, we apply division lemma to 347 and 624, to get
624 = 347 x 1 + 277
Step 3: We consider the new divisor 347 and the new remainder 277, and apply the division lemma to get
347 = 277 x 1 + 70
We consider the new divisor 277 and the new remainder 70,and apply the division lemma to get
277 = 70 x 3 + 67
We consider the new divisor 70 and the new remainder 67,and apply the division lemma to get
70 = 67 x 1 + 3
We consider the new divisor 67 and the new remainder 3,and apply the division lemma to get
67 = 3 x 22 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma 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 971 and 624 is 1
Notice that 1 = HCF(3,1) = HCF(67,3) = HCF(70,67) = HCF(277,70) = HCF(347,277) = HCF(624,347) = HCF(971,624) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 68 > 1, we apply the division lemma to 68 and 1, to get
68 = 1 x 68 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 68 is 1
Notice that 1 = HCF(68,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 858 > 1, we apply the division lemma to 858 and 1, to get
858 = 1 x 858 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 858 is 1
Notice that 1 = HCF(858,1) .
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 971, 624, 68, 858?
Answer: HCF of 971, 624, 68, 858 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 971, 624, 68, 858 using Euclid's Algorithm?
Answer: For arbitrary numbers 971, 624, 68, 858 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.