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 707, 953, 612 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 707, 953, 612 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 707, 953, 612 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 707, 953, 612 is 1.
HCF(707, 953, 612) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 707, 953, 612 is 1.
Step 1: Since 953 > 707, we apply the division lemma to 953 and 707, to get
953 = 707 x 1 + 246
Step 2: Since the reminder 707 ≠ 0, we apply division lemma to 246 and 707, to get
707 = 246 x 2 + 215
Step 3: We consider the new divisor 246 and the new remainder 215, and apply the division lemma to get
246 = 215 x 1 + 31
We consider the new divisor 215 and the new remainder 31,and apply the division lemma to get
215 = 31 x 6 + 29
We consider the new divisor 31 and the new remainder 29,and apply the division lemma to get
31 = 29 x 1 + 2
We consider the new divisor 29 and the new remainder 2,and apply the division lemma to get
29 = 2 x 14 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 707 and 953 is 1
Notice that 1 = HCF(2,1) = HCF(29,2) = HCF(31,29) = HCF(215,31) = HCF(246,215) = HCF(707,246) = HCF(953,707) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 612 > 1, we apply the division lemma to 612 and 1, to get
612 = 1 x 612 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 612 is 1
Notice that 1 = HCF(612,1) .
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 707, 953, 612?
Answer: HCF of 707, 953, 612 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 707, 953, 612 using Euclid's Algorithm?
Answer: For arbitrary numbers 707, 953, 612 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.