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 154, 385, 35 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 154, 385, 35 is 7 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 154, 385, 35 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 154, 385, 35 is 7.
HCF(154, 385, 35) = 7
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 154, 385, 35 is 7.
Step 1: Since 385 > 154, we apply the division lemma to 385 and 154, to get
385 = 154 x 2 + 77
Step 2: Since the reminder 154 ≠ 0, we apply division lemma to 77 and 154, to get
154 = 77 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 77, the HCF of 154 and 385 is 77
Notice that 77 = HCF(154,77) = HCF(385,154) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 77 > 35, we apply the division lemma to 77 and 35, to get
77 = 35 x 2 + 7
Step 2: Since the reminder 35 ≠ 0, we apply division lemma to 7 and 35, to get
35 = 7 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 77 and 35 is 7
Notice that 7 = HCF(35,7) = HCF(77,35) .
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 154, 385, 35?
Answer: HCF of 154, 385, 35 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 154, 385, 35 using Euclid's Algorithm?
Answer: For arbitrary numbers 154, 385, 35 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.