Highest Common Factor of 340, 680 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 340, 680 i.e. 340 the largest integer that leaves a remainder zero for all numbers.
HCF of 340, 680 is 340 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 340, 680 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 340, 680 is 340.
HCF(340, 680) = 340
HCF of 340, 680 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 340, 680 is 340.
Highest Common Factor of 340,680 is 340
Step 1: Since 680 > 340, we apply the division lemma to 680 and 340, to get
680 = 340 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 340, the HCF of 340 and 680 is 340
Notice that 340 = HCF(680,340) .
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Frequently Asked Questions on HCF of 340, 680 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 340, 680?
Answer: HCF of 340, 680 is 340 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 340, 680 using Euclid's Algorithm?
Answer: For arbitrary numbers 340, 680 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.