Highest Common Factor of 874, 760, 947 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 874, 760, 947 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 874, 760, 947 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 874, 760, 947 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 874, 760, 947 is 1.
HCF(874, 760, 947) = 1
HCF of 874, 760, 947 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 874, 760, 947 is 1.
Highest Common Factor of 874,760,947 is 1
Step 1: Since 874 > 760, we apply the division lemma to 874 and 760, to get
874 = 760 x 1 + 114
Step 2: Since the reminder 760 ≠ 0, we apply division lemma to 114 and 760, to get
760 = 114 x 6 + 76
Step 3: We consider the new divisor 114 and the new remainder 76, and apply the division lemma to get
114 = 76 x 1 + 38
We consider the new divisor 76 and the new remainder 38, and apply the division lemma to get
76 = 38 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 38, the HCF of 874 and 760 is 38
Notice that 38 = HCF(76,38) = HCF(114,76) = HCF(760,114) = HCF(874,760) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 947 > 38, we apply the division lemma to 947 and 38, to get
947 = 38 x 24 + 35
Step 2: Since the reminder 38 ≠ 0, we apply division lemma to 35 and 38, to get
38 = 35 x 1 + 3
Step 3: We consider the new divisor 35 and the new remainder 3, and apply the division lemma to get
35 = 3 x 11 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 38 and 947 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(35,3) = HCF(38,35) = HCF(947,38) .
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Frequently Asked Questions on HCF of 874, 760, 947 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 874, 760, 947?
Answer: HCF of 874, 760, 947 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 874, 760, 947 using Euclid's Algorithm?
Answer: For arbitrary numbers 874, 760, 947 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.