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 859, 373, 956 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 859, 373, 956 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 859, 373, 956 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 859, 373, 956 is 1.
HCF(859, 373, 956) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 859, 373, 956 is 1.
Step 1: Since 859 > 373, we apply the division lemma to 859 and 373, to get
859 = 373 x 2 + 113
Step 2: Since the reminder 373 ≠ 0, we apply division lemma to 113 and 373, to get
373 = 113 x 3 + 34
Step 3: We consider the new divisor 113 and the new remainder 34, and apply the division lemma to get
113 = 34 x 3 + 11
We consider the new divisor 34 and the new remainder 11,and apply the division lemma to get
34 = 11 x 3 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 859 and 373 is 1
Notice that 1 = HCF(11,1) = HCF(34,11) = HCF(113,34) = HCF(373,113) = HCF(859,373) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 956 > 1, we apply the division lemma to 956 and 1, to get
956 = 1 x 956 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 956 is 1
Notice that 1 = HCF(956,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 859, 373, 956?
Answer: HCF of 859, 373, 956 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 859, 373, 956 using Euclid's Algorithm?
Answer: For arbitrary numbers 859, 373, 956 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.