Highest Common Factor of 981, 274, 625 using Euclid's algorithm
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 981, 274, 625 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 981, 274, 625 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 981, 274, 625 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 981, 274, 625 is 1.
HCF(981, 274, 625) = 1
HCF of 981, 274, 625 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 981, 274, 625 is 1.
Highest Common Factor of 981,274,625 is 1
Step 1: Since 981 > 274, we apply the division lemma to 981 and 274, to get
981 = 274 x 3 + 159
Step 2: Since the reminder 274 ≠ 0, we apply division lemma to 159 and 274, to get
274 = 159 x 1 + 115
Step 3: We consider the new divisor 159 and the new remainder 115, and apply the division lemma to get
159 = 115 x 1 + 44
We consider the new divisor 115 and the new remainder 44,and apply the division lemma to get
115 = 44 x 2 + 27
We consider the new divisor 44 and the new remainder 27,and apply the division lemma to get
44 = 27 x 1 + 17
We consider the new divisor 27 and the new remainder 17,and apply the division lemma to get
27 = 17 x 1 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 981 and 274 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(27,17) = HCF(44,27) = HCF(115,44) = HCF(159,115) = HCF(274,159) = HCF(981,274) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 625 > 1, we apply the division lemma to 625 and 1, to get
625 = 1 x 625 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 625 is 1
Notice that 1 = HCF(625,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 981, 274, 625 using Euclid's Algorithm
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 981, 274, 625?
Answer: HCF of 981, 274, 625 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 981, 274, 625 using Euclid's Algorithm?
Answer: For arbitrary numbers 981, 274, 625 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.