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 985, 379, 388 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 985, 379, 388 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 985, 379, 388 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 985, 379, 388 is 1.
HCF(985, 379, 388) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 985, 379, 388 is 1.
Step 1: Since 985 > 379, we apply the division lemma to 985 and 379, to get
985 = 379 x 2 + 227
Step 2: Since the reminder 379 ≠ 0, we apply division lemma to 227 and 379, to get
379 = 227 x 1 + 152
Step 3: We consider the new divisor 227 and the new remainder 152, and apply the division lemma to get
227 = 152 x 1 + 75
We consider the new divisor 152 and the new remainder 75,and apply the division lemma to get
152 = 75 x 2 + 2
We consider the new divisor 75 and the new remainder 2,and apply the division lemma to get
75 = 2 x 37 + 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 985 and 379 is 1
Notice that 1 = HCF(2,1) = HCF(75,2) = HCF(152,75) = HCF(227,152) = HCF(379,227) = HCF(985,379) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 388 > 1, we apply the division lemma to 388 and 1, to get
388 = 1 x 388 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 388 is 1
Notice that 1 = HCF(388,1) .
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 985, 379, 388?
Answer: HCF of 985, 379, 388 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 985, 379, 388 using Euclid's Algorithm?
Answer: For arbitrary numbers 985, 379, 388 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.