Highest Common Factor of 535, 875, 870 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 535, 875, 870 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 535, 875, 870 is 5 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 535, 875, 870 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 535, 875, 870 is 5.
HCF(535, 875, 870) = 5
HCF of 535, 875, 870 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 535, 875, 870 is 5.
Highest Common Factor of 535,875,870 is 5
Step 1: Since 875 > 535, we apply the division lemma to 875 and 535, to get
875 = 535 x 1 + 340
Step 2: Since the reminder 535 ≠ 0, we apply division lemma to 340 and 535, to get
535 = 340 x 1 + 195
Step 3: We consider the new divisor 340 and the new remainder 195, and apply the division lemma to get
340 = 195 x 1 + 145
We consider the new divisor 195 and the new remainder 145,and apply the division lemma to get
195 = 145 x 1 + 50
We consider the new divisor 145 and the new remainder 50,and apply the division lemma to get
145 = 50 x 2 + 45
We consider the new divisor 50 and the new remainder 45,and apply the division lemma to get
50 = 45 x 1 + 5
We consider the new divisor 45 and the new remainder 5,and apply the division lemma to get
45 = 5 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 535 and 875 is 5
Notice that 5 = HCF(45,5) = HCF(50,45) = HCF(145,50) = HCF(195,145) = HCF(340,195) = HCF(535,340) = HCF(875,535) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 870 > 5, we apply the division lemma to 870 and 5, to get
870 = 5 x 174 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 870 is 5
Notice that 5 = HCF(870,5) .
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Frequently Asked Questions on HCF of 535, 875, 870 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 535, 875, 870?
Answer: HCF of 535, 875, 870 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 535, 875, 870 using Euclid's Algorithm?
Answer: For arbitrary numbers 535, 875, 870 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.