Highest Common Factor of 70, 90, 551, 641 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 70, 90, 551, 641 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 70, 90, 551, 641 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 70, 90, 551, 641 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 70, 90, 551, 641 is 1.
HCF(70, 90, 551, 641) = 1
HCF of 70, 90, 551, 641 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 70, 90, 551, 641 is 1.
Highest Common Factor of 70,90,551,641 is 1
Step 1: Since 90 > 70, we apply the division lemma to 90 and 70, to get
90 = 70 x 1 + 20
Step 2: Since the reminder 70 ≠ 0, we apply division lemma to 20 and 70, to get
70 = 20 x 3 + 10
Step 3: We consider the new divisor 20 and the new remainder 10, and apply the division lemma to get
20 = 10 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 70 and 90 is 10
Notice that 10 = HCF(20,10) = HCF(70,20) = HCF(90,70) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 551 > 10, we apply the division lemma to 551 and 10, to get
551 = 10 x 55 + 1
Step 2: Since the reminder 10 ≠ 0, we apply division lemma to 1 and 10, to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 10 and 551 is 1
Notice that 1 = HCF(10,1) = HCF(551,10) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 641 > 1, we apply the division lemma to 641 and 1, to get
641 = 1 x 641 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 641 is 1
Notice that 1 = HCF(641,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 70, 90, 551, 641 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 70, 90, 551, 641?
Answer: HCF of 70, 90, 551, 641 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 70, 90, 551, 641 using Euclid's Algorithm?
Answer: For arbitrary numbers 70, 90, 551, 641 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.