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 973, 525, 787 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 973, 525, 787 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 973, 525, 787 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 973, 525, 787 is 1.
HCF(973, 525, 787) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 973, 525, 787 is 1.
Step 1: Since 973 > 525, we apply the division lemma to 973 and 525, to get
973 = 525 x 1 + 448
Step 2: Since the reminder 525 ≠ 0, we apply division lemma to 448 and 525, to get
525 = 448 x 1 + 77
Step 3: We consider the new divisor 448 and the new remainder 77, and apply the division lemma to get
448 = 77 x 5 + 63
We consider the new divisor 77 and the new remainder 63,and apply the division lemma to get
77 = 63 x 1 + 14
We consider the new divisor 63 and the new remainder 14,and apply the division lemma to get
63 = 14 x 4 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 973 and 525 is 7
Notice that 7 = HCF(14,7) = HCF(63,14) = HCF(77,63) = HCF(448,77) = HCF(525,448) = HCF(973,525) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 787 > 7, we apply the division lemma to 787 and 7, to get
787 = 7 x 112 + 3
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 3 and 7, to get
7 = 3 x 2 + 1
Step 3: 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 7 and 787 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(787,7) .
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 973, 525, 787?
Answer: HCF of 973, 525, 787 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 973, 525, 787 using Euclid's Algorithm?
Answer: For arbitrary numbers 973, 525, 787 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.