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 416, 277 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 416, 277 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 416, 277 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 416, 277 is 1.
HCF(416, 277) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 416, 277 is 1.
Step 1: Since 416 > 277, we apply the division lemma to 416 and 277, to get
416 = 277 x 1 + 139
Step 2: Since the reminder 277 ≠ 0, we apply division lemma to 139 and 277, to get
277 = 139 x 1 + 138
Step 3: We consider the new divisor 139 and the new remainder 138, and apply the division lemma to get
139 = 138 x 1 + 1
We consider the new divisor 138 and the new remainder 1, and apply the division lemma to get
138 = 1 x 138 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 416 and 277 is 1
Notice that 1 = HCF(138,1) = HCF(139,138) = HCF(277,139) = HCF(416,277) .
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 416, 277?
Answer: HCF of 416, 277 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 416, 277 using Euclid's Algorithm?
Answer: For arbitrary numbers 416, 277 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.