Highest Common Factor of 910, 490, 856, 61 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 910, 490, 856, 61 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 910, 490, 856, 61 is 1 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 910, 490, 856, 61 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 910, 490, 856, 61 is 1.
HCF(910, 490, 856, 61) = 1
HCF of 910, 490, 856, 61 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 910, 490, 856, 61 is 1.
Highest Common Factor of 910,490,856,61 is 1
Step 1: Since 910 > 490, we apply the division lemma to 910 and 490, to get
910 = 490 x 1 + 420
Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 420 and 490, to get
490 = 420 x 1 + 70
Step 3: We consider the new divisor 420 and the new remainder 70, and apply the division lemma to get
420 = 70 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 70, the HCF of 910 and 490 is 70
Notice that 70 = HCF(420,70) = HCF(490,420) = HCF(910,490) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 856 > 70, we apply the division lemma to 856 and 70, to get
856 = 70 x 12 + 16
Step 2: Since the reminder 70 ≠ 0, we apply division lemma to 16 and 70, to get
70 = 16 x 4 + 6
Step 3: We consider the new divisor 16 and the new remainder 6, and apply the division lemma to get
16 = 6 x 2 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 70 and 856 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(70,16) = HCF(856,70) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 61 > 2, we apply the division lemma to 61 and 2, to get
61 = 2 x 30 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 61 is 1
Notice that 1 = HCF(2,1) = HCF(61,2) .
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Frequently Asked Questions on HCF of 910, 490, 856, 61 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 910, 490, 856, 61?
Answer: HCF of 910, 490, 856, 61 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 910, 490, 856, 61 using Euclid's Algorithm?
Answer: For arbitrary numbers 910, 490, 856, 61 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
