Highest Common Factor of 988, 692, 667, 837 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 988, 692, 667, 837 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 988, 692, 667, 837 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 988, 692, 667, 837 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 988, 692, 667, 837 is 1.
HCF(988, 692, 667, 837) = 1
HCF of 988, 692, 667, 837 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 988, 692, 667, 837 is 1.
Highest Common Factor of 988,692,667,837 is 1
Step 1: Since 988 > 692, we apply the division lemma to 988 and 692, to get
988 = 692 x 1 + 296
Step 2: Since the reminder 692 ≠ 0, we apply division lemma to 296 and 692, to get
692 = 296 x 2 + 100
Step 3: We consider the new divisor 296 and the new remainder 100, and apply the division lemma to get
296 = 100 x 2 + 96
We consider the new divisor 100 and the new remainder 96,and apply the division lemma to get
100 = 96 x 1 + 4
We consider the new divisor 96 and the new remainder 4,and apply the division lemma to get
96 = 4 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 988 and 692 is 4
Notice that 4 = HCF(96,4) = HCF(100,96) = HCF(296,100) = HCF(692,296) = HCF(988,692) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 667 > 4, we apply the division lemma to 667 and 4, to get
667 = 4 x 166 + 3
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get
4 = 3 x 1 + 1
Step 3: 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 4 and 667 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(667,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 837 > 1, we apply the division lemma to 837 and 1, to get
837 = 1 x 837 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 837 is 1
Notice that 1 = HCF(837,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 988, 692, 667, 837 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 988, 692, 667, 837?
Answer: HCF of 988, 692, 667, 837 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 988, 692, 667, 837 using Euclid's Algorithm?
Answer: For arbitrary numbers 988, 692, 667, 837 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.