Highest Common Factor of 880, 764, 42, 707 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 880, 764, 42, 707 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 880, 764, 42, 707 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 880, 764, 42, 707 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 880, 764, 42, 707 is 1.
HCF(880, 764, 42, 707) = 1
HCF of 880, 764, 42, 707 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 880, 764, 42, 707 is 1.
Highest Common Factor of 880,764,42,707 is 1
Step 1: Since 880 > 764, we apply the division lemma to 880 and 764, to get
880 = 764 x 1 + 116
Step 2: Since the reminder 764 ≠ 0, we apply division lemma to 116 and 764, to get
764 = 116 x 6 + 68
Step 3: We consider the new divisor 116 and the new remainder 68, and apply the division lemma to get
116 = 68 x 1 + 48
We consider the new divisor 68 and the new remainder 48,and apply the division lemma to get
68 = 48 x 1 + 20
We consider the new divisor 48 and the new remainder 20,and apply the division lemma to get
48 = 20 x 2 + 8
We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get
20 = 8 x 2 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 880 and 764 is 4
Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(48,20) = HCF(68,48) = HCF(116,68) = HCF(764,116) = HCF(880,764) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 42 > 4, we apply the division lemma to 42 and 4, to get
42 = 4 x 10 + 2
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, 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 4 and 42 is 2
Notice that 2 = HCF(4,2) = HCF(42,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 707 > 2, we apply the division lemma to 707 and 2, to get
707 = 2 x 353 + 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 707 is 1
Notice that 1 = HCF(2,1) = HCF(707,2) .
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Frequently Asked Questions on HCF of 880, 764, 42, 707 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 880, 764, 42, 707?
Answer: HCF of 880, 764, 42, 707 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 880, 764, 42, 707 using Euclid's Algorithm?
Answer: For arbitrary numbers 880, 764, 42, 707 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
