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 1244, 971 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1244, 971 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 1244, 971 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 1244, 971 is 1.
HCF(1244, 971) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1244, 971 is 1.
Step 1: Since 1244 > 971, we apply the division lemma to 1244 and 971, to get
1244 = 971 x 1 + 273
Step 2: Since the reminder 971 ≠ 0, we apply division lemma to 273 and 971, to get
971 = 273 x 3 + 152
Step 3: We consider the new divisor 273 and the new remainder 152, and apply the division lemma to get
273 = 152 x 1 + 121
We consider the new divisor 152 and the new remainder 121,and apply the division lemma to get
152 = 121 x 1 + 31
We consider the new divisor 121 and the new remainder 31,and apply the division lemma to get
121 = 31 x 3 + 28
We consider the new divisor 31 and the new remainder 28,and apply the division lemma to get
31 = 28 x 1 + 3
We consider the new divisor 28 and the new remainder 3,and apply the division lemma to get
28 = 3 x 9 + 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 1244 and 971 is 1
Notice that 1 = HCF(3,1) = HCF(28,3) = HCF(31,28) = HCF(121,31) = HCF(152,121) = HCF(273,152) = HCF(971,273) = HCF(1244,971) .
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 1244, 971?
Answer: HCF of 1244, 971 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1244, 971 using Euclid's Algorithm?
Answer: For arbitrary numbers 1244, 971 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.