Highest Common Factor of 377, 547, 801 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 377, 547, 801 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 377, 547, 801 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 377, 547, 801 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 377, 547, 801 is 1.
HCF(377, 547, 801) = 1
HCF of 377, 547, 801 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 377, 547, 801 is 1.
Highest Common Factor of 377,547,801 is 1
Step 1: Since 547 > 377, we apply the division lemma to 547 and 377, to get
547 = 377 x 1 + 170
Step 2: Since the reminder 377 ≠ 0, we apply division lemma to 170 and 377, to get
377 = 170 x 2 + 37
Step 3: We consider the new divisor 170 and the new remainder 37, and apply the division lemma to get
170 = 37 x 4 + 22
We consider the new divisor 37 and the new remainder 22,and apply the division lemma to get
37 = 22 x 1 + 15
We consider the new divisor 22 and the new remainder 15,and apply the division lemma to get
22 = 15 x 1 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 377 and 547 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(22,15) = HCF(37,22) = HCF(170,37) = HCF(377,170) = HCF(547,377) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 801 > 1, we apply the division lemma to 801 and 1, to get
801 = 1 x 801 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 801 is 1
Notice that 1 = HCF(801,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 377, 547, 801 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 377, 547, 801?
Answer: HCF of 377, 547, 801 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 377, 547, 801 using Euclid's Algorithm?
Answer: For arbitrary numbers 377, 547, 801 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
