Highest Common Factor of 140, 40, 520 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 140, 40, 520 i.e. 20 the largest integer that leaves a remainder zero for all numbers.
HCF of 140, 40, 520 is 20 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 140, 40, 520 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 140, 40, 520 is 20.
HCF(140, 40, 520) = 20
HCF of 140, 40, 520 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 140, 40, 520 is 20.
Highest Common Factor of 140,40,520 is 20
Step 1: Since 140 > 40, we apply the division lemma to 140 and 40, to get
140 = 40 x 3 + 20
Step 2: Since the reminder 40 ≠ 0, we apply division lemma to 20 and 40, to get
40 = 20 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 20, the HCF of 140 and 40 is 20
Notice that 20 = HCF(40,20) = HCF(140,40) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 520 > 20, we apply the division lemma to 520 and 20, to get
520 = 20 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 20, the HCF of 20 and 520 is 20
Notice that 20 = HCF(520,20) .
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Frequently Asked Questions on HCF of 140, 40, 520 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 140, 40, 520?
Answer: HCF of 140, 40, 520 is 20 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 140, 40, 520 using Euclid's Algorithm?
Answer: For arbitrary numbers 140, 40, 520 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.