Highest Common Factor of 987, 673, 187 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 987, 673, 187 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 987, 673, 187 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 987, 673, 187 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 987, 673, 187 is 1.
HCF(987, 673, 187) = 1
HCF of 987, 673, 187 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 987, 673, 187 is 1.
Highest Common Factor of 987,673,187 is 1
Step 1: Since 987 > 673, we apply the division lemma to 987 and 673, to get
987 = 673 x 1 + 314
Step 2: Since the reminder 673 ≠ 0, we apply division lemma to 314 and 673, to get
673 = 314 x 2 + 45
Step 3: We consider the new divisor 314 and the new remainder 45, and apply the division lemma to get
314 = 45 x 6 + 44
We consider the new divisor 45 and the new remainder 44,and apply the division lemma to get
45 = 44 x 1 + 1
We consider the new divisor 44 and the new remainder 1,and apply the division lemma to get
44 = 1 x 44 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 987 and 673 is 1
Notice that 1 = HCF(44,1) = HCF(45,44) = HCF(314,45) = HCF(673,314) = HCF(987,673) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 187 > 1, we apply the division lemma to 187 and 1, to get
187 = 1 x 187 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 187 is 1
Notice that 1 = HCF(187,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 987, 673, 187 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 987, 673, 187?
Answer: HCF of 987, 673, 187 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 987, 673, 187 using Euclid's Algorithm?
Answer: For arbitrary numbers 987, 673, 187 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.