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 701, 855, 149 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 701, 855, 149 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 701, 855, 149 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 701, 855, 149 is 1.
HCF(701, 855, 149) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 701, 855, 149 is 1.
Step 1: Since 855 > 701, we apply the division lemma to 855 and 701, to get
855 = 701 x 1 + 154
Step 2: Since the reminder 701 ≠ 0, we apply division lemma to 154 and 701, to get
701 = 154 x 4 + 85
Step 3: We consider the new divisor 154 and the new remainder 85, and apply the division lemma to get
154 = 85 x 1 + 69
We consider the new divisor 85 and the new remainder 69,and apply the division lemma to get
85 = 69 x 1 + 16
We consider the new divisor 69 and the new remainder 16,and apply the division lemma to get
69 = 16 x 4 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 701 and 855 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(69,16) = HCF(85,69) = HCF(154,85) = HCF(701,154) = HCF(855,701) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 149 > 1, we apply the division lemma to 149 and 1, to get
149 = 1 x 149 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 149 is 1
Notice that 1 = HCF(149,1) .
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 701, 855, 149?
Answer: HCF of 701, 855, 149 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 701, 855, 149 using Euclid's Algorithm?
Answer: For arbitrary numbers 701, 855, 149 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.