Highest Common Factor of 800, 250, 350 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 800, 250, 350 i.e. 50 the largest integer that leaves a remainder zero for all numbers.
HCF of 800, 250, 350 is 50 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 800, 250, 350 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 800, 250, 350 is 50.
HCF(800, 250, 350) = 50
HCF of 800, 250, 350 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 800, 250, 350 is 50.
Highest Common Factor of 800,250,350 is 50
Step 1: Since 800 > 250, we apply the division lemma to 800 and 250, to get
800 = 250 x 3 + 50
Step 2: Since the reminder 250 ≠ 0, we apply division lemma to 50 and 250, to get
250 = 50 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 50, the HCF of 800 and 250 is 50
Notice that 50 = HCF(250,50) = HCF(800,250) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 350 > 50, we apply the division lemma to 350 and 50, to get
350 = 50 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 50, the HCF of 50 and 350 is 50
Notice that 50 = HCF(350,50) .
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Frequently Asked Questions on HCF of 800, 250, 350 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 800, 250, 350?
Answer: HCF of 800, 250, 350 is 50 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 800, 250, 350 using Euclid's Algorithm?
Answer: For arbitrary numbers 800, 250, 350 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.