Highest Common Factor of 390, 897, 97, 901 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 390, 897, 97, 901 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 390, 897, 97, 901 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 390, 897, 97, 901 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 390, 897, 97, 901 is 1.
HCF(390, 897, 97, 901) = 1
HCF of 390, 897, 97, 901 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 390, 897, 97, 901 is 1.
Highest Common Factor of 390,897,97,901 is 1
Step 1: Since 897 > 390, we apply the division lemma to 897 and 390, to get
897 = 390 x 2 + 117
Step 2: Since the reminder 390 ≠ 0, we apply division lemma to 117 and 390, to get
390 = 117 x 3 + 39
Step 3: We consider the new divisor 117 and the new remainder 39, and apply the division lemma to get
117 = 39 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 39, the HCF of 390 and 897 is 39
Notice that 39 = HCF(117,39) = HCF(390,117) = HCF(897,390) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 97 > 39, we apply the division lemma to 97 and 39, to get
97 = 39 x 2 + 19
Step 2: Since the reminder 39 ≠ 0, we apply division lemma to 19 and 39, to get
39 = 19 x 2 + 1
Step 3: We consider the new divisor 19 and the new remainder 1, and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 39 and 97 is 1
Notice that 1 = HCF(19,1) = HCF(39,19) = HCF(97,39) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 901 > 1, we apply the division lemma to 901 and 1, to get
901 = 1 x 901 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 901 is 1
Notice that 1 = HCF(901,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 390, 897, 97, 901 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 390, 897, 97, 901?
Answer: HCF of 390, 897, 97, 901 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 390, 897, 97, 901 using Euclid's Algorithm?
Answer: For arbitrary numbers 390, 897, 97, 901 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.