Highest Common Factor of 420, 770 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 420, 770 i.e. 70 the largest integer that leaves a remainder zero for all numbers.
HCF of 420, 770 is 70 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 420, 770 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 420, 770 is 70.
HCF(420, 770) = 70
HCF of 420, 770 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 420, 770 is 70.
Highest Common Factor of 420,770 is 70
Step 1: Since 770 > 420, we apply the division lemma to 770 and 420, to get
770 = 420 x 1 + 350
Step 2: Since the reminder 420 ≠ 0, we apply division lemma to 350 and 420, to get
420 = 350 x 1 + 70
Step 3: We consider the new divisor 350 and the new remainder 70, and apply the division lemma to get
350 = 70 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 70, the HCF of 420 and 770 is 70
Notice that 70 = HCF(350,70) = HCF(420,350) = HCF(770,420) .
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Frequently Asked Questions on HCF of 420, 770 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 420, 770?
Answer: HCF of 420, 770 is 70 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 420, 770 using Euclid's Algorithm?
Answer: For arbitrary numbers 420, 770 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.