Highest Common Factor of 959, 2485, 2156 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 959, 2485, 2156 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 959, 2485, 2156 is 7 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 959, 2485, 2156 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 959, 2485, 2156 is 7.
HCF(959, 2485, 2156) = 7
HCF of 959, 2485, 2156 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 959, 2485, 2156 is 7.
Highest Common Factor of 959,2485,2156 is 7
Step 1: Since 2485 > 959, we apply the division lemma to 2485 and 959, to get
2485 = 959 x 2 + 567
Step 2: Since the reminder 959 ≠ 0, we apply division lemma to 567 and 959, to get
959 = 567 x 1 + 392
Step 3: We consider the new divisor 567 and the new remainder 392, and apply the division lemma to get
567 = 392 x 1 + 175
We consider the new divisor 392 and the new remainder 175,and apply the division lemma to get
392 = 175 x 2 + 42
We consider the new divisor 175 and the new remainder 42,and apply the division lemma to get
175 = 42 x 4 + 7
We consider the new divisor 42 and the new remainder 7,and apply the division lemma to get
42 = 7 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 959 and 2485 is 7
Notice that 7 = HCF(42,7) = HCF(175,42) = HCF(392,175) = HCF(567,392) = HCF(959,567) = HCF(2485,959) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2156 > 7, we apply the division lemma to 2156 and 7, to get
2156 = 7 x 308 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 7 and 2156 is 7
Notice that 7 = HCF(2156,7) .
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Frequently Asked Questions on HCF of 959, 2485, 2156 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 959, 2485, 2156?
Answer: HCF of 959, 2485, 2156 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 959, 2485, 2156 using Euclid's Algorithm?
Answer: For arbitrary numbers 959, 2485, 2156 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.