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, 710, 157 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 973, 710, 157 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, 710, 157 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, 710, 157 is 1.
HCF(973, 710, 157) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 973, 710, 157 is 1.
Step 1: Since 973 > 710, we apply the division lemma to 973 and 710, to get
973 = 710 x 1 + 263
Step 2: Since the reminder 710 ≠ 0, we apply division lemma to 263 and 710, to get
710 = 263 x 2 + 184
Step 3: We consider the new divisor 263 and the new remainder 184, and apply the division lemma to get
263 = 184 x 1 + 79
We consider the new divisor 184 and the new remainder 79,and apply the division lemma to get
184 = 79 x 2 + 26
We consider the new divisor 79 and the new remainder 26,and apply the division lemma to get
79 = 26 x 3 + 1
We consider the new divisor 26 and the new remainder 1,and apply the division lemma to get
26 = 1 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 973 and 710 is 1
Notice that 1 = HCF(26,1) = HCF(79,26) = HCF(184,79) = HCF(263,184) = HCF(710,263) = HCF(973,710) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 157 > 1, we apply the division lemma to 157 and 1, to get
157 = 1 x 157 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 157 is 1
Notice that 1 = HCF(157,1) .
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 973, 710, 157?
Answer: HCF of 973, 710, 157 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 973, 710, 157 using Euclid's Algorithm?
Answer: For arbitrary numbers 973, 710, 157 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.