Highest Common Factor of 974, 687, 244 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 974, 687, 244 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 974, 687, 244 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 974, 687, 244 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 974, 687, 244 is 1.
HCF(974, 687, 244) = 1
HCF of 974, 687, 244 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 974, 687, 244 is 1.
Highest Common Factor of 974,687,244 is 1
Step 1: Since 974 > 687, we apply the division lemma to 974 and 687, to get
974 = 687 x 1 + 287
Step 2: Since the reminder 687 ≠ 0, we apply division lemma to 287 and 687, to get
687 = 287 x 2 + 113
Step 3: We consider the new divisor 287 and the new remainder 113, and apply the division lemma to get
287 = 113 x 2 + 61
We consider the new divisor 113 and the new remainder 61,and apply the division lemma to get
113 = 61 x 1 + 52
We consider the new divisor 61 and the new remainder 52,and apply the division lemma to get
61 = 52 x 1 + 9
We consider the new divisor 52 and the new remainder 9,and apply the division lemma to get
52 = 9 x 5 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 974 and 687 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(52,9) = HCF(61,52) = HCF(113,61) = HCF(287,113) = HCF(687,287) = HCF(974,687) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 244 > 1, we apply the division lemma to 244 and 1, to get
244 = 1 x 244 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 244 is 1
Notice that 1 = HCF(244,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 974, 687, 244 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 974, 687, 244?
Answer: HCF of 974, 687, 244 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 974, 687, 244 using Euclid's Algorithm?
Answer: For arbitrary numbers 974, 687, 244 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.